Finding the Fourth Proportional to 1,403.78, 1,937.22 and 814.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,403.78 : 1,937.22 = 814.10 : x
2. Step 2: Convert to fraction form
   1,403.78/1,937.22 = 814.10/x
3. Step 3: Cross multiply
   1,403.78x = 1,937.22 × 814.10
4. Step 4: Simplify right side
   1,403.78x = 1,577,090.80
5. Step 5: Solve for x
   x = 1,577,090.80/1,403.78
6. Step 6: Final answer
   x = 1,123.46