Finding the Fourth Proportional to 1,403.61, 1,937.17 and 814.33

Step by Step Solution

1. Step 1: Write the proportion equation
   1,403.61 : 1,937.17 = 814.33 : x
2. Step 2: Convert to fraction form
   1,403.61/1,937.17 = 814.33/x
3. Step 3: Cross multiply
   1,403.61x = 1,937.17 × 814.33
4. Step 4: Simplify right side
   1,403.61x = 1,577,491.57
5. Step 5: Solve for x
   x = 1,577,491.57/1,403.61
6. Step 6: Final answer
   x = 1,123.88