Finding the Fourth Proportional to 5,642.74, 7,778.82 and 3,958.93

Step by Step Solution

1. Step 1: Write the proportion equation
   5,642.74 : 7,778.82 = 3,958.93 : x
2. Step 2: Convert to fraction form
   5,642.74/7,778.82 = 3,958.93/x
3. Step 3: Cross multiply
   5,642.74x = 7,778.82 × 3,958.93
4. Step 4: Simplify right side
   5,642.74x = 30,795,803.86
5. Step 5: Solve for x
   x = 30,795,803.86/5,642.74
6. Step 6: Final answer
   x = 5,457.60