Finding the Fourth Proportional to 5,086.96, 7,642.17 and 4,876.78

Step by Step Solution

1. Step 1: Write the proportion equation
   5,086.96 : 7,642.17 = 4,876.78 : x
2. Step 2: Convert to fraction form
   5,086.96/7,642.17 = 4,876.78/x
3. Step 3: Cross multiply
   5,086.96x = 7,642.17 × 4,876.78
4. Step 4: Simplify right side
   5,086.96x = 37,269,162.71
5. Step 5: Solve for x
   x = 37,269,162.71/5,086.96
6. Step 6: Final answer
   x = 7,326.41