Finding the Fourth Proportional to 5,876.78, 8,108.33 and 3,782.12

Step by Step Solution

1. Step 1: Write the proportion equation
   5,876.78 : 8,108.33 = 3,782.12 : x
2. Step 2: Convert to fraction form
   5,876.78/8,108.33 = 3,782.12/x
3. Step 3: Cross multiply
   5,876.78x = 8,108.33 × 3,782.12
4. Step 4: Simplify right side
   5,876.78x = 30,666,645.97
5. Step 5: Solve for x
   x = 30,666,645.97/5,876.78
6. Step 6: Final answer
   x = 5,218.28