Finding the Fourth Proportional to 1,488.61, 2,054.04 and 825.35

Step by Step Solution

1. Step 1: Write the proportion equation
   1,488.61 : 2,054.04 = 825.35 : x
2. Step 2: Convert to fraction form
   1,488.61/2,054.04 = 825.35/x
3. Step 3: Cross multiply
   1,488.61x = 2,054.04 × 825.35
4. Step 4: Simplify right side
   1,488.61x = 1,695,301.91
5. Step 5: Solve for x
   x = 1,695,301.91/1,488.61
6. Step 6: Final answer
   x = 1,138.85