Finding the Fourth Proportional to 8,765.40, 12,096.15 and 5,406.87

Step by Step Solution

1. Step 1: Write the proportion equation
   8,765.40 : 12,096.15 = 5,406.87 : x
2. Step 2: Convert to fraction form
   8,765.40/12,096.15 = 5,406.87/x
3. Step 3: Cross multiply
   8,765.40x = 12,096.15 × 5,406.87
4. Step 4: Simplify right side
   8,765.40x = 65,402,310.55
5. Step 5: Solve for x
   x = 65,402,310.55/8,765.40
6. Step 6: Final answer
   x = 7,461.42