Finding the Fourth Proportional to 5,152.83, 7,729.85 and 1,641.61

Step by Step Solution

1. Step 1: Write the proportion equation
   5,152.83 : 7,729.85 = 1,641.61 : x
2. Step 2: Convert to fraction form
   5,152.83/7,729.85 = 1,641.61/x
3. Step 3: Cross multiply
   5,152.83x = 7,729.85 × 1,641.61
4. Step 4: Simplify right side
   5,152.83x = 12,689,399.06
5. Step 5: Solve for x
   x = 12,689,399.06/5,152.83
6. Step 6: Final answer
   x = 2,462.61