Finding the Fourth Proportional to 5,638.14, 8,439.90 and 5,080.46

Step by Step Solution

1. Step 1: Write the proportion equation
   5,638.14 : 8,439.90 = 5,080.46 : x
2. Step 2: Convert to fraction form
   5,638.14/8,439.90 = 5,080.46/x
3. Step 3: Cross multiply
   5,638.14x = 8,439.90 × 5,080.46
4. Step 4: Simplify right side
   5,638.14x = 42,878,513.10
5. Step 5: Solve for x
   x = 42,878,513.10/5,638.14
6. Step 6: Final answer
   x = 7,605.08