Finding the Fourth Proportional to 9,097.89, 12,549.77 and 5,739.49

Step by Step Solution

1. Step 1: Write the proportion equation
   9,097.89 : 12,549.77 = 5,739.49 : x
2. Step 2: Convert to fraction form
   9,097.89/12,549.77 = 5,739.49/x
3. Step 3: Cross multiply
   9,097.89x = 12,549.77 × 5,739.49
4. Step 4: Simplify right side
   9,097.89x = 72,029,287.93
5. Step 5: Solve for x
   x = 72,029,287.93/9,097.89
6. Step 6: Final answer
   x = 7,917.15