Finding the Fourth Proportional to 1,349.24, 1,862.88 and 825.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,349.24 : 1,862.88 = 825.62 : x
2. Step 2: Convert to fraction form
   1,349.24/1,862.88 = 825.62/x
3. Step 3: Cross multiply
   1,349.24x = 1,862.88 × 825.62
4. Step 4: Simplify right side
   1,349.24x = 1,538,030.99
5. Step 5: Solve for x
   x = 1,538,030.99/1,349.24
6. Step 6: Final answer
   x = 1,139.92