Finding the Fourth Proportional to 10,838.13, 14,951.57 and 7,696.05

Step by Step Solution

1. Step 1: Write the proportion equation
   10,838.13 : 14,951.57 = 7,696.05 : x
2. Step 2: Convert to fraction form
   10,838.13/14,951.57 = 7,696.05/x
3. Step 3: Cross multiply
   10,838.13x = 14,951.57 × 7,696.05
4. Step 4: Simplify right side
   10,838.13x = 115,068,030.30
5. Step 5: Solve for x
   x = 115,068,030.30/10,838.13
6. Step 6: Final answer
   x = 10,616.96