Finding the Fourth Proportional to 1,025.92, 1,540.02 and 795.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,025.92 : 1,540.02 = 795.82 : x
2. Step 2: Convert to fraction form
   1,025.92/1,540.02 = 795.82/x
3. Step 3: Cross multiply
   1,025.92x = 1,540.02 × 795.82
4. Step 4: Simplify right side
   1,025.92x = 1,225,578.72
5. Step 5: Solve for x
   x = 1,225,578.72/1,025.92
6. Step 6: Final answer
   x = 1,194.61