Finding the Fourth Proportional to 1,415.55, 1,952.67 and 825.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,415.55 : 1,952.67 = 825.72 : x
2. Step 2: Convert to fraction form
   1,415.55/1,952.67 = 825.72/x
3. Step 3: Cross multiply
   1,415.55x = 1,952.67 × 825.72
4. Step 4: Simplify right side
   1,415.55x = 1,612,358.67
5. Step 5: Solve for x
   x = 1,612,358.67/1,415.55
6. Step 6: Final answer
   x = 1,139.03