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Finding the Fourth Proportional to 1,978.29, 2,964.60 and 1,110.78

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Solution

The fourth proportional to 1,978.29, 2,964.60 and 1,110.78 is: 1,664.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.29 : 2,964.60 = 1,110.78 : x
  2. Step 2: Convert to fraction form
    1,978.29/2,964.60 = 1,110.78/x
  3. Step 3: Cross multiply
    1,978.29x = 2,964.60 × 1,110.78
  4. Step 4: Simplify right side
    1,978.29x = 3,293,018.39
  5. Step 5: Solve for x
    x = 3,293,018.39/1,978.29
  6. Step 6: Final answer
    x = 1,664.58

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