Finding the Fourth Proportional to 10,938.50, 15,095.00 and 6,222.77

Step by Step Solution

1. Step 1: Write the proportion equation
   10,938.50 : 15,095.00 = 6,222.77 : x
2. Step 2: Convert to fraction form
   10,938.50/15,095.00 = 6,222.77/x
3. Step 3: Cross multiply
   10,938.50x = 15,095.00 × 6,222.77
4. Step 4: Simplify right side
   10,938.50x = 93,932,606.56
5. Step 5: Solve for x
   x = 93,932,606.56/10,938.50
6. Step 6: Final answer
   x = 8,587.34