Finding the Fourth Proportional to 10,657.31, 14,707.16 and 5,941.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,657.31 : 14,707.16 = 5,941.63 : x
2. Step 2: Convert to fraction form
   10,657.31/14,707.16 = 5,941.63/x
3. Step 3: Cross multiply
   10,657.31x = 14,707.16 × 5,941.63
4. Step 4: Simplify right side
   10,657.31x = 87,384,481.16
5. Step 5: Solve for x
   x = 87,384,481.16/10,657.31
6. Step 6: Final answer
   x = 8,199.49