Finding the Fourth Proportional to 10,697.63, 14,761.59 and 5,916.81

Step by Step Solution

1. Step 1: Write the proportion equation
   10,697.63 : 14,761.59 = 5,916.81 : x
2. Step 2: Convert to fraction form
   10,697.63/14,761.59 = 5,916.81/x
3. Step 3: Cross multiply
   10,697.63x = 14,761.59 × 5,916.81
4. Step 4: Simplify right side
   10,697.63x = 87,341,508.54
5. Step 5: Solve for x
   x = 87,341,508.54/10,697.63
6. Step 6: Final answer
   x = 8,164.57