Finding the Fourth Proportional to 10,685.76, 14,746.29 and 5,906.04

Step by Step Solution

1. Step 1: Write the proportion equation
   10,685.76 : 14,746.29 = 5,906.04 : x
2. Step 2: Convert to fraction form
   10,685.76/14,746.29 = 5,906.04/x
3. Step 3: Cross multiply
   10,685.76x = 14,746.29 × 5,906.04
4. Step 4: Simplify right side
   10,685.76x = 87,092,178.59
5. Step 5: Solve for x
   x = 87,092,178.59/10,685.76
6. Step 6: Final answer
   x = 8,150.30