Finding the Fourth Proportional to 1,477.43, 2,038.78 and 814.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,477.43 : 2,038.78 = 814.16 : x
2. Step 2: Convert to fraction form
   1,477.43/2,038.78 = 814.16/x
3. Step 3: Cross multiply
   1,477.43x = 2,038.78 × 814.16
4. Step 4: Simplify right side
   1,477.43x = 1,659,880.90
5. Step 5: Solve for x
   x = 1,659,880.90/1,477.43
6. Step 6: Final answer
   x = 1,123.49