Finding the Fourth Proportional to 9,664.76, 13,338.61 and 5,686.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,664.76 : 13,338.61 = 5,686.25 : x
2. Step 2: Convert to fraction form
   9,664.76/13,338.61 = 5,686.25/x
3. Step 3: Cross multiply
   9,664.76x = 13,338.61 × 5,686.25
4. Step 4: Simplify right side
   9,664.76x = 75,846,590.20
5. Step 5: Solve for x
   x = 75,846,590.20/9,664.76
6. Step 6: Final answer
   x = 7,847.74