Finding the Fourth Proportional to 10,685.86, 14,746.47 and 5,906.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,685.86 : 14,746.47 = 5,906.16 : x
2. Step 2: Convert to fraction form
   10,685.86/14,746.47 = 5,906.16/x
3. Step 3: Cross multiply
   10,685.86x = 14,746.47 × 5,906.16
4. Step 4: Simplify right side
   10,685.86x = 87,095,011.26
5. Step 5: Solve for x
   x = 87,095,011.26/10,685.86
6. Step 6: Final answer
   x = 8,150.50