Finding the Fourth Proportional to 9,160.25, 12,641.18 and 4,968.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,160.25 : 12,641.18 = 4,968.50 : x
2. Step 2: Convert to fraction form
   9,160.25/12,641.18 = 4,968.50/x
3. Step 3: Cross multiply
   9,160.25x = 12,641.18 × 4,968.50
4. Step 4: Simplify right side
   9,160.25x = 62,807,614.78
5. Step 5: Solve for x
   x = 62,807,614.78/9,160.25
6. Step 6: Final answer
   x = 6,856.54