Finding the Fourth Proportional to 5,909.59, 8,096.10 and 5,688.01

Step by Step Solution

1. Step 1: Write the proportion equation
   5,909.59 : 8,096.10 = 5,688.01 : x
2. Step 2: Convert to fraction form
   5,909.59/8,096.10 = 5,688.01/x
3. Step 3: Cross multiply
   5,909.59x = 8,096.10 × 5,688.01
4. Step 4: Simplify right side
   5,909.59x = 46,050,697.76
5. Step 5: Solve for x
   x = 46,050,697.76/5,909.59
6. Step 6: Final answer
   x = 7,792.54