Finding the Fourth Proportional to 9,264.96, 13,891.24 and 5,106.96

Step by Step Solution

1. Step 1: Write the proportion equation
   9,264.96 : 13,891.24 = 5,106.96 : x
2. Step 2: Convert to fraction form
   9,264.96/13,891.24 = 5,106.96/x
3. Step 3: Cross multiply
   9,264.96x = 13,891.24 × 5,106.96
4. Step 4: Simplify right side
   9,264.96x = 70,942,007.03
5. Step 5: Solve for x
   x = 70,942,007.03/9,264.96
6. Step 6: Final answer
   x = 7,657.02