Finding the Fourth Proportional to 1,415.31, 1,953.02 and 825.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,415.31 : 1,953.02 = 825.77 : x
2. Step 2: Convert to fraction form
   1,415.31/1,953.02 = 825.77/x
3. Step 3: Cross multiply
   1,415.31x = 1,953.02 × 825.77
4. Step 4: Simplify right side
   1,415.31x = 1,612,745.33
5. Step 5: Solve for x
   x = 1,612,745.33/1,415.31
6. Step 6: Final answer
   x = 1,139.50