Finding the Fourth Proportional to 1,415.06, 1,952.43 and 825.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,415.06 : 1,952.43 = 825.38 : x
2. Step 2: Convert to fraction form
   1,415.06/1,952.43 = 825.38/x
3. Step 3: Cross multiply
   1,415.06x = 1,952.43 × 825.38
4. Step 4: Simplify right side
   1,415.06x = 1,611,496.67
5. Step 5: Solve for x
   x = 1,611,496.67/1,415.06
6. Step 6: Final answer
   x = 1,138.82