Finding the Fourth Proportional to 1,477.57, 2,039.07 and 814.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,477.57 : 2,039.07 = 814.42 : x
2. Step 2: Convert to fraction form
   1,477.57/2,039.07 = 814.42/x
3. Step 3: Cross multiply
   1,477.57x = 2,039.07 × 814.42
4. Step 4: Simplify right side
   1,477.57x = 1,660,659.39
5. Step 5: Solve for x
   x = 1,660,659.39/1,477.57
6. Step 6: Final answer
   x = 1,123.91