Finding the Fourth Proportional to 1,488.52, 2,054.02 and 825.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,488.52 : 2,054.02 = 825.32 : x
2. Step 2: Convert to fraction form
   1,488.52/2,054.02 = 825.32/x
3. Step 3: Cross multiply
   1,488.52x = 2,054.02 × 825.32
4. Step 4: Simplify right side
   1,488.52x = 1,695,209.39
5. Step 5: Solve for x
   x = 1,695,209.39/1,488.52
6. Step 6: Final answer
   x = 1,138.86