Finding the Fourth Proportional to 5,690.55, 7,856.96 and 3,926.19

Step by Step Solution

1. Step 1: Write the proportion equation
   5,690.55 : 7,856.96 = 3,926.19 : x
2. Step 2: Convert to fraction form
   5,690.55/7,856.96 = 3,926.19/x
3. Step 3: Cross multiply
   5,690.55x = 7,856.96 × 3,926.19
4. Step 4: Simplify right side
   5,690.55x = 30,847,898.15
5. Step 5: Solve for x
   x = 30,847,898.15/5,690.55
6. Step 6: Final answer
   x = 5,420.90