Finding the Fourth Proportional to 9,861.50, 13,608.94 and 5,669.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,861.50 : 13,608.94 = 5,669.78 : x
2. Step 2: Convert to fraction form
   9,861.50/13,608.94 = 5,669.78/x
3. Step 3: Cross multiply
   9,861.50x = 13,608.94 × 5,669.78
4. Step 4: Simplify right side
   9,861.50x = 77,159,695.83
5. Step 5: Solve for x
   x = 77,159,695.83/9,861.50
6. Step 6: Final answer
   x = 7,824.34