Finding the Fourth Proportional to 1,477.40, 2,038.73 and 814.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,477.40 : 2,038.73 = 814.14 : x
2. Step 2: Convert to fraction form
   1,477.40/2,038.73 = 814.14/x
3. Step 3: Cross multiply
   1,477.40x = 2,038.73 × 814.14
4. Step 4: Simplify right side
   1,477.40x = 1,659,807.57
5. Step 5: Solve for x
   x = 1,659,807.57/1,477.40
6. Step 6: Final answer
   x = 1,123.47