Finding the Fourth Proportional to 1,487.90, 2,053.32 and 824.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,487.90 : 2,053.32 = 824.78 : x
2. Step 2: Convert to fraction form
   1,487.90/2,053.32 = 824.78/x
3. Step 3: Cross multiply
   1,487.90x = 2,053.32 × 824.78
4. Step 4: Simplify right side
   1,487.90x = 1,693,527.00
5. Step 5: Solve for x
   x = 1,693,527.00/1,487.90
6. Step 6: Final answer
   x = 1,138.20