Finding the Fourth Proportional to 1,477.58, 2,039.18 and 814.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,477.58 : 2,039.18 = 814.50 : x
2. Step 2: Convert to fraction form
   1,477.58/2,039.18 = 814.50/x
3. Step 3: Cross multiply
   1,477.58x = 2,039.18 × 814.50
4. Step 4: Simplify right side
   1,477.58x = 1,660,908.04
5. Step 5: Solve for x
   x = 1,660,908.04/1,477.58
6. Step 6: Final answer
   x = 1,124.08