Finding the Fourth Proportional to 2,414.00, 3,613.95 and 1,486.77

Step by Step Solution

1. Step 1: Write the proportion equation
   2,414.00 : 3,613.95 = 1,486.77 : x
2. Step 2: Convert to fraction form
   2,414.00/3,613.95 = 1,486.77/x
3. Step 3: Cross multiply
   2,414.00x = 3,613.95 × 1,486.77
4. Step 4: Simplify right side
   2,414.00x = 5,373,112.44
5. Step 5: Solve for x
   x = 5,373,112.44/2,414.00
6. Step 6: Final answer
   x = 2,225.82