Finding the Fourth Proportional to 1,488.20, 2,053.56 and 824.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,488.20 : 2,053.56 = 824.96 : x
2. Step 2: Convert to fraction form
   1,488.20/2,053.56 = 824.96/x
3. Step 3: Cross multiply
   1,488.20x = 2,053.56 × 824.96
4. Step 4: Simplify right side
   1,488.20x = 1,694,104.86
5. Step 5: Solve for x
   x = 1,694,104.86/1,488.20
6. Step 6: Final answer
   x = 1,138.36