Finding the Fourth Proportional to 4,111.06, 6,166.62 and 1,646.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,111.06 : 6,166.62 = 1,646.50 : x
2. Step 2: Convert to fraction form
   4,111.06/6,166.62 = 1,646.50/x
3. Step 3: Cross multiply
   4,111.06x = 6,166.62 × 1,646.50
4. Step 4: Simplify right side
   4,111.06x = 10,153,339.83
5. Step 5: Solve for x
   x = 10,153,339.83/4,111.06
6. Step 6: Final answer
   x = 2,469.76