Finding the Fourth Proportional to 10,696.37, 14,760.56 and 5,916

Step by Step Solution

1. Step 1: Write the proportion equation
   10,696.37 : 14,760.56 = 5,916 : x
2. Step 2: Convert to fraction form
   10,696.37/14,760.56 = 5,916/x
3. Step 3: Cross multiply
   10,696.37x = 14,760.56 × 5,916
4. Step 4: Simplify right side
   10,696.37x = 87,323,472.96
5. Step 5: Solve for x
   x = 87,323,472.96/10,696.37
6. Step 6: Final answer
   x = 8,163.84