Finding the Fourth Proportional to 9,659.31, 14,494.34 and 5,216.88

Step by Step Solution

1. Step 1: Write the proportion equation
   9,659.31 : 14,494.34 = 5,216.88 : x
2. Step 2: Convert to fraction form
   9,659.31/14,494.34 = 5,216.88/x
3. Step 3: Cross multiply
   9,659.31x = 14,494.34 × 5,216.88
4. Step 4: Simplify right side
   9,659.31x = 75,615,213.23
5. Step 5: Solve for x
   x = 75,615,213.23/9,659.31
6. Step 6: Final answer
   x = 7,828.22