Finding the Fourth Proportional to 1,403.78, 1,937.13 and 814.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,403.78 : 1,937.13 = 814.50 : x
2. Step 2: Convert to fraction form
   1,403.78/1,937.13 = 814.50/x
3. Step 3: Cross multiply
   1,403.78x = 1,937.13 × 814.50
4. Step 4: Simplify right side
   1,403.78x = 1,577,792.39
5. Step 5: Solve for x
   x = 1,577,792.39/1,403.78
6. Step 6: Final answer
   x = 1,123.96