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Finding the Fourth Proportional to 1,584.80, 2,378.82 and 1,123.10

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Solution

The fourth proportional to 1,584.80, 2,378.82 and 1,123.10 is: 1,685.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.80 : 2,378.82 = 1,123.10 : x
  2. Step 2: Convert to fraction form
    1,584.80/2,378.82 = 1,123.10/x
  3. Step 3: Cross multiply
    1,584.80x = 2,378.82 × 1,123.10
  4. Step 4: Simplify right side
    1,584.80x = 2,671,640.85
  5. Step 5: Solve for x
    x = 2,671,640.85/1,584.80
  6. Step 6: Final answer
    x = 1,685.80

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