Finding the Fourth Proportional to 5,877.06, 8,107.56 and 3,638.10

Step by Step Solution

1. Step 1: Write the proportion equation
   5,877.06 : 8,107.56 = 3,638.10 : x
2. Step 2: Convert to fraction form
   5,877.06/8,107.56 = 3,638.10/x
3. Step 3: Cross multiply
   5,877.06x = 8,107.56 × 3,638.10
4. Step 4: Simplify right side
   5,877.06x = 29,496,114.04
5. Step 5: Solve for x
   x = 29,496,114.04/5,877.06
6. Step 6: Final answer
   x = 5,018.86