Finding the Fourth Proportional to 1,488.15, 2,053.69 and 825.08

Step by Step Solution

1. Step 1: Write the proportion equation
   1,488.15 : 2,053.69 = 825.08 : x
2. Step 2: Convert to fraction form
   1,488.15/2,053.69 = 825.08/x
3. Step 3: Cross multiply
   1,488.15x = 2,053.69 × 825.08
4. Step 4: Simplify right side
   1,488.15x = 1,694,458.55
5. Step 5: Solve for x
   x = 1,694,458.55/1,488.15
6. Step 6: Final answer
   x = 1,138.63