Finding the Fourth Proportional to 7,896.30, 10,874.75 and 7,724.07

Step by Step Solution

1. Step 1: Write the proportion equation
   7,896.30 : 10,874.75 = 7,724.07 : x
2. Step 2: Convert to fraction form
   7,896.30/10,874.75 = 7,724.07/x
3. Step 3: Cross multiply
   7,896.30x = 10,874.75 × 7,724.07
4. Step 4: Simplify right side
   7,896.30x = 83,997,291.61
5. Step 5: Solve for x
   x = 83,997,291.61/7,896.30
6. Step 6: Final answer
   x = 10,637.55