Finding the Fourth Proportional to 1,349.59, 1,862.17 and 825.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,349.59 : 1,862.17 = 825.25 : x
2. Step 2: Convert to fraction form
   1,349.59/1,862.17 = 825.25/x
3. Step 3: Cross multiply
   1,349.59x = 1,862.17 × 825.25
4. Step 4: Simplify right side
   1,349.59x = 1,536,755.79
5. Step 5: Solve for x
   x = 1,536,755.79/1,349.59
6. Step 6: Final answer
   x = 1,138.68