Finding the Fourth Proportional to 1,404.20, 1,937.37 and 814.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,404.20 : 1,937.37 = 814.62 : x
2. Step 2: Convert to fraction form
   1,404.20/1,937.37 = 814.62/x
3. Step 3: Cross multiply
   1,404.20x = 1,937.37 × 814.62
4. Step 4: Simplify right side
   1,404.20x = 1,578,216.28
5. Step 5: Solve for x
   x = 1,578,216.28/1,404.20
6. Step 6: Final answer
   x = 1,123.93