Finding the Fourth Proportional to 9,645.56, 13,310.88 and 5,666.72

Step by Step Solution

1. Step 1: Write the proportion equation
   9,645.56 : 13,310.88 = 5,666.72 : x
2. Step 2: Convert to fraction form
   9,645.56/13,310.88 = 5,666.72/x
3. Step 3: Cross multiply
   9,645.56x = 13,310.88 × 5,666.72
4. Step 4: Simplify right side
   9,645.56x = 75,429,029.91
5. Step 5: Solve for x
   x = 75,429,029.91/9,645.56
6. Step 6: Final answer
   x = 7,820.08