Finding the Fourth Proportional to 9,688.76, 13,378.38 and 7,896.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,688.76 : 13,378.38 = 7,896.50 : x
2. Step 2: Convert to fraction form
   9,688.76/13,378.38 = 7,896.50/x
3. Step 3: Cross multiply
   9,688.76x = 13,378.38 × 7,896.50
4. Step 4: Simplify right side
   9,688.76x = 105,642,377.67
5. Step 5: Solve for x
   x = 105,642,377.67/9,688.76
6. Step 6: Final answer
   x = 10,903.60