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Finding the Fourth Proportional to 1,078.14, 1,614.76 and 1,053.84

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Solution

The fourth proportional to 1,078.14, 1,614.76 and 1,053.84 is: 1,578.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.14 : 1,614.76 = 1,053.84 : x
  2. Step 2: Convert to fraction form
    1,078.14/1,614.76 = 1,053.84/x
  3. Step 3: Cross multiply
    1,078.14x = 1,614.76 × 1,053.84
  4. Step 4: Simplify right side
    1,078.14x = 1,701,698.68
  5. Step 5: Solve for x
    x = 1,701,698.68/1,078.14
  6. Step 6: Final answer
    x = 1,578.37

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