Finding the Fourth Proportional to 120,142.40, 165,797.60 and 65,696.12

Step by Step Solution

1. Step 1: Write the proportion equation
   120,142.40 : 165,797.60 = 65,696.12 : x
2. Step 2: Convert to fraction form
   120,142.40/165,797.60 = 65,696.12/x
3. Step 3: Cross multiply
   120,142.40x = 165,797.60 × 65,696.12
4. Step 4: Simplify right side
   120,142.40x = 10,892,259,025.31
5. Step 5: Solve for x
   x = 10,892,259,025.31/120,142.40
6. Step 6: Final answer
   x = 90,661.24