Finding the Fourth Proportional to 9,526.30, 13,146.77 and 5,749.41

Step by Step Solution

1. Step 1: Write the proportion equation
   9,526.30 : 13,146.77 = 5,749.41 : x
2. Step 2: Convert to fraction form
   9,526.30/13,146.77 = 5,749.41/x
3. Step 3: Cross multiply
   9,526.30x = 13,146.77 × 5,749.41
4. Step 4: Simplify right side
   9,526.30x = 75,586,170.91
5. Step 5: Solve for x
   x = 75,586,170.91/9,526.30
6. Step 6: Final answer
   x = 7,934.47