Finding the Fourth Proportional to 5,643.42, 8,447.40 and 3,878.10

Step by Step Solution

1. Step 1: Write the proportion equation
   5,643.42 : 8,447.40 = 3,878.10 : x
2. Step 2: Convert to fraction form
   5,643.42/8,447.40 = 3,878.10/x
3. Step 3: Cross multiply
   5,643.42x = 8,447.40 × 3,878.10
4. Step 4: Simplify right side
   5,643.42x = 32,759,861.94
5. Step 5: Solve for x
   x = 32,759,861.94/5,643.42
6. Step 6: Final answer
   x = 5,804.97