Finding the Fourth Proportional to 8,434, 12,641.43 and 5,139.83

Step by Step Solution

1. Step 1: Write the proportion equation
   8,434 : 12,641.43 = 5,139.83 : x
2. Step 2: Convert to fraction form
   8,434/12,641.43 = 5,139.83/x
3. Step 3: Cross multiply
   8,434x = 12,641.43 × 5,139.83
4. Step 4: Simplify right side
   8,434x = 64,974,801.16
5. Step 5: Solve for x
   x = 64,974,801.16/8,434
6. Step 6: Final answer
   x = 7,703.91