Finding the Fourth Proportional to 10,165.95, 14,023.32 and 5,916.51

Step by Step Solution

1. Step 1: Write the proportion equation
   10,165.95 : 14,023.32 = 5,916.51 : x
2. Step 2: Convert to fraction form
   10,165.95/14,023.32 = 5,916.51/x
3. Step 3: Cross multiply
   10,165.95x = 14,023.32 × 5,916.51
4. Step 4: Simplify right side
   10,165.95x = 82,969,113.01
5. Step 5: Solve for x
   x = 82,969,113.01/10,165.95
6. Step 6: Final answer
   x = 8,161.47