Finding the Fourth Proportional to 2,258.01, 3,385.98 and 1,466.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,258.01 : 3,385.98 = 1,466.10 : x
2. Step 2: Convert to fraction form
   2,258.01/3,385.98 = 1,466.10/x
3. Step 3: Cross multiply
   2,258.01x = 3,385.98 × 1,466.10
4. Step 4: Simplify right side
   2,258.01x = 4,964,185.28
5. Step 5: Solve for x
   x = 4,964,185.28/2,258.01
6. Step 6: Final answer
   x = 2,198.48