Finding the Fourth Proportional to 10,696.88, 14,761.34 and 5,916.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,696.88 : 14,761.34 = 5,916.75 : x
2. Step 2: Convert to fraction form
   10,696.88/14,761.34 = 5,916.75/x
3. Step 3: Cross multiply
   10,696.88x = 14,761.34 × 5,916.75
4. Step 4: Simplify right side
   10,696.88x = 87,339,128.86
5. Step 5: Solve for x
   x = 87,339,128.86/10,696.88
6. Step 6: Final answer
   x = 8,164.92