Finding the Fourth Proportional to 10,631.88, 14,672.34 and 5,916.33

Step by Step Solution

1. Step 1: Write the proportion equation
   10,631.88 : 14,672.34 = 5,916.33 : x
2. Step 2: Convert to fraction form
   10,631.88/14,672.34 = 5,916.33/x
3. Step 3: Cross multiply
   10,631.88x = 14,672.34 × 5,916.33
4. Step 4: Simplify right side
   10,631.88x = 86,806,405.31
5. Step 5: Solve for x
   x = 86,806,405.31/10,631.88
6. Step 6: Final answer
   x = 8,164.73