Finding the Fourth Proportional to 1,415.06, 1,952.79 and 825.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,415.06 : 1,952.79 = 825.71 : x
2. Step 2: Convert to fraction form
   1,415.06/1,952.79 = 825.71/x
3. Step 3: Cross multiply
   1,415.06x = 1,952.79 × 825.71
4. Step 4: Simplify right side
   1,415.06x = 1,612,443.11
5. Step 5: Solve for x
   x = 1,612,443.11/1,415.06
6. Step 6: Final answer
   x = 1,139.49