Finding the Fourth Proportional to 1,478.14, 2,039.82 and 814.99

Step by Step Solution

1. Step 1: Write the proportion equation
   1,478.14 : 2,039.82 = 814.99 : x
2. Step 2: Convert to fraction form
   1,478.14/2,039.82 = 814.99/x
3. Step 3: Cross multiply
   1,478.14x = 2,039.82 × 814.99
4. Step 4: Simplify right side
   1,478.14x = 1,662,426.27
5. Step 5: Solve for x
   x = 1,662,426.27/1,478.14
6. Step 6: Final answer
   x = 1,124.68