Finding the Fourth Proportional to 10,657.89, 14,707.90 and 5,942.07

Step by Step Solution

1. Step 1: Write the proportion equation
   10,657.89 : 14,707.90 = 5,942.07 : x
2. Step 2: Convert to fraction form
   10,657.89/14,707.90 = 5,942.07/x
3. Step 3: Cross multiply
   10,657.89x = 14,707.90 × 5,942.07
4. Step 4: Simplify right side
   10,657.89x = 87,395,371.35
5. Step 5: Solve for x
   x = 87,395,371.35/10,657.89
6. Step 6: Final answer
   x = 8,200.06