Finding the Fourth Proportional to 1,477.82, 2,039.46 and 814.70

Step by Step Solution

1. Step 1: Write the proportion equation
   1,477.82 : 2,039.46 = 814.70 : x
2. Step 2: Convert to fraction form
   1,477.82/2,039.46 = 814.70/x
3. Step 3: Cross multiply
   1,477.82x = 2,039.46 × 814.70
4. Step 4: Simplify right side
   1,477.82x = 1,661,548.06
5. Step 5: Solve for x
   x = 1,661,548.06/1,477.82
6. Step 6: Final answer
   x = 1,124.32