Finding the Fourth Proportional to 9,106.62, 12,561.90 and 5,748.24

Step by Step Solution

1. Step 1: Write the proportion equation
   9,106.62 : 12,561.90 = 5,748.24 : x
2. Step 2: Convert to fraction form
   9,106.62/12,561.90 = 5,748.24/x
3. Step 3: Cross multiply
   9,106.62x = 12,561.90 × 5,748.24
4. Step 4: Simplify right side
   9,106.62x = 72,208,816.06
5. Step 5: Solve for x
   x = 72,208,816.06/9,106.62
6. Step 6: Final answer
   x = 7,929.27