Finding the Fourth Proportional to 1,477.68, 2,039.25 and 814.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,477.68 : 2,039.25 = 814.53 : x
2. Step 2: Convert to fraction form
   1,477.68/2,039.25 = 814.53/x
3. Step 3: Cross multiply
   1,477.68x = 2,039.25 × 814.53
4. Step 4: Simplify right side
   1,477.68x = 1,661,030.30
5. Step 5: Solve for x
   x = 1,661,030.30/1,477.68
6. Step 6: Final answer
   x = 1,124.08