Finding the Fourth Proportional to 2,653.36, 3,978.82 and 1,466.61

Step by Step Solution

1. Step 1: Write the proportion equation
   2,653.36 : 3,978.82 = 1,466.61 : x
2. Step 2: Convert to fraction form
   2,653.36/3,978.82 = 1,466.61/x
3. Step 3: Cross multiply
   2,653.36x = 3,978.82 × 1,466.61
4. Step 4: Simplify right side
   2,653.36x = 5,835,364.11
5. Step 5: Solve for x
   x = 5,835,364.11/2,653.36
6. Step 6: Final answer
   x = 2,199.24