Finding the Fourth Proportional to 1,477.16, 2,038.50 and 814.04

Step by Step Solution

1. Step 1: Write the proportion equation
   1,477.16 : 2,038.50 = 814.04 : x
2. Step 2: Convert to fraction form
   1,477.16/2,038.50 = 814.04/x
3. Step 3: Cross multiply
   1,477.16x = 2,038.50 × 814.04
4. Step 4: Simplify right side
   1,477.16x = 1,659,410.61
5. Step 5: Solve for x
   x = 1,659,410.61/1,477.16
6. Step 6: Final answer
   x = 1,123.38