Finding the Fourth Proportional to 10,632.28, 14,672.16 and 5,916.46

Step by Step Solution

1. Step 1: Write the proportion equation
   10,632.28 : 14,672.16 = 5,916.46 : x
2. Step 2: Convert to fraction form
   10,632.28/14,672.16 = 5,916.46/x
3. Step 3: Cross multiply
   10,632.28x = 14,672.16 × 5,916.46
4. Step 4: Simplify right side
   10,632.28x = 86,807,247.75
5. Step 5: Solve for x
   x = 86,807,247.75/10,632.28
6. Step 6: Final answer
   x = 8,164.50