Finding the Fourth Proportional to 12,840, 17,713.71 and 7,462.05

Step by Step Solution

1. Step 1: Write the proportion equation
   12,840 : 17,713.71 = 7,462.05 : x
2. Step 2: Convert to fraction form
   12,840/17,713.71 = 7,462.05/x
3. Step 3: Cross multiply
   12,840x = 17,713.71 × 7,462.05
4. Step 4: Simplify right side
   12,840x = 132,180,589.71
5. Step 5: Solve for x
   x = 132,180,589.71/12,840
6. Step 6: Final answer
   x = 10,294.44