Finding the Fourth Proportional to 10,686.63, 14,747.49 and 5,906.91

Step by Step Solution

1. Step 1: Write the proportion equation
   10,686.63 : 14,747.49 = 5,906.91 : x
2. Step 2: Convert to fraction form
   10,686.63/14,747.49 = 5,906.91/x
3. Step 3: Cross multiply
   10,686.63x = 14,747.49 × 5,906.91
4. Step 4: Simplify right side
   10,686.63x = 87,112,151.46
5. Step 5: Solve for x
   x = 87,112,151.46/10,686.63
6. Step 6: Final answer
   x = 8,151.51