Finding the Fourth Proportional to 5,906.90, 8,149.20 and 5,160.89

Step by Step Solution

1. Step 1: Write the proportion equation
   5,906.90 : 8,149.20 = 5,160.89 : x
2. Step 2: Convert to fraction form
   5,906.90/8,149.20 = 5,160.89/x
3. Step 3: Cross multiply
   5,906.90x = 8,149.20 × 5,160.89
4. Step 4: Simplify right side
   5,906.90x = 42,057,124.79
5. Step 5: Solve for x
   x = 42,057,124.79/5,906.90
6. Step 6: Final answer
   x = 7,120.00