Finding the Fourth Proportional to 9,652.71, 13,320.70 and 5,676.10

Step by Step Solution

1. Step 1: Write the proportion equation
   9,652.71 : 13,320.70 = 5,676.10 : x
2. Step 2: Convert to fraction form
   9,652.71/13,320.70 = 5,676.10/x
3. Step 3: Cross multiply
   9,652.71x = 13,320.70 × 5,676.10
4. Step 4: Simplify right side
   9,652.71x = 75,609,625.27
5. Step 5: Solve for x
   x = 75,609,625.27/9,652.71
6. Step 6: Final answer
   x = 7,832.99