Finding the Fourth Proportional to 9,665.18, 14,503.35 and 5,222.86

Step by Step Solution

1. Step 1: Write the proportion equation
   9,665.18 : 14,503.35 = 5,222.86 : x
2. Step 2: Convert to fraction form
   9,665.18/14,503.35 = 5,222.86/x
3. Step 3: Cross multiply
   9,665.18x = 14,503.35 × 5,222.86
4. Step 4: Simplify right side
   9,665.18x = 75,748,867.95
5. Step 5: Solve for x
   x = 75,748,867.95/9,665.18
6. Step 6: Final answer
   x = 7,837.30