Finding the Fourth Proportional to 2,494.66, 3,742.15 and 1,466.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,494.66 : 3,742.15 = 1,466.50 : x
2. Step 2: Convert to fraction form
   2,494.66/3,742.15 = 1,466.50/x
3. Step 3: Cross multiply
   2,494.66x = 3,742.15 × 1,466.50
4. Step 4: Simplify right side
   2,494.66x = 5,487,862.98
5. Step 5: Solve for x
   x = 5,487,862.98/2,494.66
6. Step 6: Final answer
   x = 2,199.84