Finding the Fourth Proportional to 10,916.64, 15,085.98 and 8,259.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,916.64 : 15,085.98 = 8,259.30 : x
2. Step 2: Convert to fraction form
   10,916.64/15,085.98 = 8,259.30/x
3. Step 3: Cross multiply
   10,916.64x = 15,085.98 × 8,259.30
4. Step 4: Simplify right side
   10,916.64x = 124,599,634.61
5. Step 5: Solve for x
   x = 124,599,634.61/10,916.64
6. Step 6: Final answer
   x = 11,413.73