Finding the Fourth Proportional to 1,477.39, 2,038.81 and 814.29

Step by Step Solution

1. Step 1: Write the proportion equation
   1,477.39 : 2,038.81 = 814.29 : x
2. Step 2: Convert to fraction form
   1,477.39/2,038.81 = 814.29/x
3. Step 3: Cross multiply
   1,477.39x = 2,038.81 × 814.29
4. Step 4: Simplify right side
   1,477.39x = 1,660,182.59
5. Step 5: Solve for x
   x = 1,660,182.59/1,477.39
6. Step 6: Final answer
   x = 1,123.73