Finding the Fourth Proportional to 7,141.50, 9,859.59 and 4,661.82

Step by Step Solution

1. Step 1: Write the proportion equation
   7,141.50 : 9,859.59 = 4,661.82 : x
2. Step 2: Convert to fraction form
   7,141.50/9,859.59 = 4,661.82/x
3. Step 3: Cross multiply
   7,141.50x = 9,859.59 × 4,661.82
4. Step 4: Simplify right side
   7,141.50x = 45,963,633.85
5. Step 5: Solve for x
   x = 45,963,633.85/7,141.50
6. Step 6: Final answer
   x = 6,436.13