Finding the Fourth Proportional to 9,350.64, 14,016.24 and 5,642.46

Step by Step Solution

1. Step 1: Write the proportion equation
   9,350.64 : 14,016.24 = 5,642.46 : x
2. Step 2: Convert to fraction form
   9,350.64/14,016.24 = 5,642.46/x
3. Step 3: Cross multiply
   9,350.64x = 14,016.24 × 5,642.46
4. Step 4: Simplify right side
   9,350.64x = 79,086,073.55
5. Step 5: Solve for x
   x = 79,086,073.55/9,350.64
6. Step 6: Final answer
   x = 8,457.82