Finding the Fourth Proportional to 9,191.72, 12,688.98 and 5,657.96

Step by Step Solution

1. Step 1: Write the proportion equation
   9,191.72 : 12,688.98 = 5,657.96 : x
2. Step 2: Convert to fraction form
   9,191.72/12,688.98 = 5,657.96/x
3. Step 3: Cross multiply
   9,191.72x = 12,688.98 × 5,657.96
4. Step 4: Simplify right side
   9,191.72x = 71,793,741.28
5. Step 5: Solve for x
   x = 71,793,741.28/9,191.72
6. Step 6: Final answer
   x = 7,810.70