Finding the Fourth Proportional to 2,466.93, 3,698.56 and 1,166.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,466.93 : 3,698.56 = 1,166.88 : x
2. Step 2: Convert to fraction form
   2,466.93/3,698.56 = 1,166.88/x
3. Step 3: Cross multiply
   2,466.93x = 3,698.56 × 1,166.88
4. Step 4: Simplify right side
   2,466.93x = 4,315,775.69
5. Step 5: Solve for x
   x = 4,315,775.69/2,466.93
6. Step 6: Final answer
   x = 1,749.45