Finding the Fourth Proportional to 6,107.00, 8,434.58 and 4,114.10

Step by Step Solution

1. Step 1: Write the proportion equation
   6,107.00 : 8,434.58 = 4,114.10 : x
2. Step 2: Convert to fraction form
   6,107.00/8,434.58 = 4,114.10/x
3. Step 3: Cross multiply
   6,107.00x = 8,434.58 × 4,114.10
4. Step 4: Simplify right side
   6,107.00x = 34,700,642.83
5. Step 5: Solve for x
   x = 34,700,642.83/6,107.00
6. Step 6: Final answer
   x = 5,682.11