Finding the Fourth Proportional to 1,488.29, 2,053.86 and 825.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,488.29 : 2,053.86 = 825.16 : x
2. Step 2: Convert to fraction form
   1,488.29/2,053.86 = 825.16/x
3. Step 3: Cross multiply
   1,488.29x = 2,053.86 × 825.16
4. Step 4: Simplify right side
   1,488.29x = 1,694,752.85
5. Step 5: Solve for x
   x = 1,694,752.85/1,488.29
6. Step 6: Final answer
   x = 1,138.72