Finding the Fourth Proportional to 1,488.30, 2,053.86 and 825.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,488.30 : 2,053.86 = 825.20 : x
2. Step 2: Convert to fraction form
   1,488.30/2,053.86 = 825.20/x
3. Step 3: Cross multiply
   1,488.30x = 2,053.86 × 825.20
4. Step 4: Simplify right side
   1,488.30x = 1,694,845.27
5. Step 5: Solve for x
   x = 1,694,845.27/1,488.30
6. Step 6: Final answer
   x = 1,138.78