Finding the Fourth Proportional to 9,097.77, 12,553.80 and 5,739.32

Step by Step Solution

1. Step 1: Write the proportion equation
   9,097.77 : 12,553.80 = 5,739.32 : x
2. Step 2: Convert to fraction form
   9,097.77/12,553.80 = 5,739.32/x
3. Step 3: Cross multiply
   9,097.77x = 12,553.80 × 5,739.32
4. Step 4: Simplify right side
   9,097.77x = 72,050,275.42
5. Step 5: Solve for x
   x = 72,050,275.42/9,097.77
6. Step 6: Final answer
   x = 7,919.55