Finding the Fourth Proportional to 1,415.32, 1,952.70 and 825.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,415.32 : 1,952.70 = 825.78 : x
2. Step 2: Convert to fraction form
   1,415.32/1,952.70 = 825.78/x
3. Step 3: Cross multiply
   1,415.32x = 1,952.70 × 825.78
4. Step 4: Simplify right side
   1,415.32x = 1,612,500.61
5. Step 5: Solve for x
   x = 1,612,500.61/1,415.32
6. Step 6: Final answer
   x = 1,139.32