Finding the Fourth Proportional to 9,645.48, 13,311.15 and 5,666.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,645.48 : 13,311.15 = 5,666.56 : x
2. Step 2: Convert to fraction form
   9,645.48/13,311.15 = 5,666.56/x
3. Step 3: Cross multiply
   9,645.48x = 13,311.15 × 5,666.56
4. Step 4: Simplify right side
   9,645.48x = 75,428,425.53
5. Step 5: Solve for x
   x = 75,428,425.53/9,645.48
6. Step 6: Final answer
   x = 7,820.08