Finding the Fourth Proportional to 9,089.88, 12,543.96 and 5,734.86

Step by Step Solution

1. Step 1: Write the proportion equation
   9,089.88 : 12,543.96 = 5,734.86 : x
2. Step 2: Convert to fraction form
   9,089.88/12,543.96 = 5,734.86/x
3. Step 3: Cross multiply
   9,089.88x = 12,543.96 × 5,734.86
4. Step 4: Simplify right side
   9,089.88x = 71,937,854.45
5. Step 5: Solve for x
   x = 71,937,854.45/9,089.88
6. Step 6: Final answer
   x = 7,914.06