Finding the Fourth Proportional to 1,477.98, 2,039.54 and 814.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,477.98 : 2,039.54 = 814.82 : x
2. Step 2: Convert to fraction form
   1,477.98/2,039.54 = 814.82/x
3. Step 3: Cross multiply
   1,477.98x = 2,039.54 × 814.82
4. Step 4: Simplify right side
   1,477.98x = 1,661,857.98
5. Step 5: Solve for x
   x = 1,661,857.98/1,477.98
6. Step 6: Final answer
   x = 1,124.41