Finding the Fourth Proportional to 10,621.82, 14,658.63 and 5,906

Step by Step Solution

1. Step 1: Write the proportion equation
   10,621.82 : 14,658.63 = 5,906 : x
2. Step 2: Convert to fraction form
   10,621.82/14,658.63 = 5,906/x
3. Step 3: Cross multiply
   10,621.82x = 14,658.63 × 5,906
4. Step 4: Simplify right side
   10,621.82x = 86,573,868.78
5. Step 5: Solve for x
   x = 86,573,868.78/10,621.82
6. Step 6: Final answer
   x = 8,150.57