Finding the Fourth Proportional to 5,642.42, 7,779.32 and 3,870.95

Step by Step Solution

1. Step 1: Write the proportion equation
   5,642.42 : 7,779.32 = 3,870.95 : x
2. Step 2: Convert to fraction form
   5,642.42/7,779.32 = 3,870.95/x
3. Step 3: Cross multiply
   5,642.42x = 7,779.32 × 3,870.95
4. Step 4: Simplify right side
   5,642.42x = 30,113,358.75
5. Step 5: Solve for x
   x = 30,113,358.75/5,642.42
6. Step 6: Final answer
   x = 5,336.96