Finding the Fourth Proportional to 12,872.88, 17,761.50 and 7,837.02

Step by Step Solution

1. Step 1: Write the proportion equation
   12,872.88 : 17,761.50 = 7,837.02 : x
2. Step 2: Convert to fraction form
   12,872.88/17,761.50 = 7,837.02/x
3. Step 3: Cross multiply
   12,872.88x = 17,761.50 × 7,837.02
4. Step 4: Simplify right side
   12,872.88x = 139,197,230.73
5. Step 5: Solve for x
   x = 139,197,230.73/12,872.88
6. Step 6: Final answer
   x = 10,813.22