Finding the Fourth Proportional to 8,096.32, 12,137.76 and 5,635.93

Step by Step Solution

1. Step 1: Write the proportion equation
   8,096.32 : 12,137.76 = 5,635.93 : x
2. Step 2: Convert to fraction form
   8,096.32/12,137.76 = 5,635.93/x
3. Step 3: Cross multiply
   8,096.32x = 12,137.76 × 5,635.93
4. Step 4: Simplify right side
   8,096.32x = 68,407,565.72
5. Step 5: Solve for x
   x = 68,407,565.72/8,096.32
6. Step 6: Final answer
   x = 8,449.22