Finding the Fourth Proportional to 4,111.02, 6,166.50 and 1,646.40

Step by Step Solution

1. Step 1: Write the proportion equation
   4,111.02 : 6,166.50 = 1,646.40 : x
2. Step 2: Convert to fraction form
   4,111.02/6,166.50 = 1,646.40/x
3. Step 3: Cross multiply
   4,111.02x = 6,166.50 × 1,646.40
4. Step 4: Simplify right side
   4,111.02x = 10,152,525.60
5. Step 5: Solve for x
   x = 10,152,525.60/4,111.02
6. Step 6: Final answer
   x = 2,469.59