Finding the Fourth Proportional to 9,659.64, 13,331.40 and 5,468.16

Step by Step Solution

1. Step 1: Write the proportion equation
   9,659.64 : 13,331.40 = 5,468.16 : x
2. Step 2: Convert to fraction form
   9,659.64/13,331.40 = 5,468.16/x
3. Step 3: Cross multiply
   9,659.64x = 13,331.40 × 5,468.16
4. Step 4: Simplify right side
   9,659.64x = 72,898,228.22
5. Step 5: Solve for x
   x = 72,898,228.22/9,659.64
6. Step 6: Final answer
   x = 7,546.68