Finding the Fourth Proportional to 9,093.16, 12,540.90 and 5,735.08

Step by Step Solution

1. Step 1: Write the proportion equation
   9,093.16 : 12,540.90 = 5,735.08 : x
2. Step 2: Convert to fraction form
   9,093.16/12,540.90 = 5,735.08/x
3. Step 3: Cross multiply
   9,093.16x = 12,540.90 × 5,735.08
4. Step 4: Simplify right side
   9,093.16x = 71,923,064.77
5. Step 5: Solve for x
   x = 71,923,064.77/9,093.16
6. Step 6: Final answer
   x = 7,909.58