Finding the Fourth Proportional to 9,872.50, 14,789.22 and 5,185.48

Step by Step Solution

1. Step 1: Write the proportion equation
   9,872.50 : 14,789.22 = 5,185.48 : x
2. Step 2: Convert to fraction form
   9,872.50/14,789.22 = 5,185.48/x
3. Step 3: Cross multiply
   9,872.50x = 14,789.22 × 5,185.48
4. Step 4: Simplify right side
   9,872.50x = 76,689,204.53
5. Step 5: Solve for x
   x = 76,689,204.53/9,872.50
6. Step 6: Final answer
   x = 7,767.96