Finding the Fourth Proportional to 1,477.98, 2,039.52 and 814.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,477.98 : 2,039.52 = 814.80 : x
2. Step 2: Convert to fraction form
   1,477.98/2,039.52 = 814.80/x
3. Step 3: Cross multiply
   1,477.98x = 2,039.52 × 814.80
4. Step 4: Simplify right side
   1,477.98x = 1,661,800.90
5. Step 5: Solve for x
   x = 1,661,800.90/1,477.98
6. Step 6: Final answer
   x = 1,124.37