Finding the Fourth Proportional to 1,477.70, 2,039.31 and 814.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,477.70 : 2,039.31 = 814.55 : x
2. Step 2: Convert to fraction form
   1,477.70/2,039.31 = 814.55/x
3. Step 3: Cross multiply
   1,477.70x = 2,039.31 × 814.55
4. Step 4: Simplify right side
   1,477.70x = 1,661,109.76
5. Step 5: Solve for x
   x = 1,661,109.76/1,477.70
6. Step 6: Final answer
   x = 1,124.12