Finding the Fourth Proportional to 9,498.89, 13,102.63 and 5,915.66

Step by Step Solution

1. Step 1: Write the proportion equation
   9,498.89 : 13,102.63 = 5,915.66 : x
2. Step 2: Convert to fraction form
   9,498.89/13,102.63 = 5,915.66/x
3. Step 3: Cross multiply
   9,498.89x = 13,102.63 × 5,915.66
4. Step 4: Simplify right side
   9,498.89x = 77,510,623.88
5. Step 5: Solve for x
   x = 77,510,623.88/9,498.89
6. Step 6: Final answer
   x = 8,159.96