Finding the Fourth Proportional to 5,742.90, 7,924.60 and 3,854.10

Step by Step Solution

1. Step 1: Write the proportion equation
   5,742.90 : 7,924.60 = 3,854.10 : x
2. Step 2: Convert to fraction form
   5,742.90/7,924.60 = 3,854.10/x
3. Step 3: Cross multiply
   5,742.90x = 7,924.60 × 3,854.10
4. Step 4: Simplify right side
   5,742.90x = 30,542,200.86
5. Step 5: Solve for x
   x = 30,542,200.86/5,742.90
6. Step 6: Final answer
   x = 5,318.25