Finding the Fourth Proportional to 2,650.64, 3,976.56 and 1,417.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,650.64 : 3,976.56 = 1,417.40 : x
2. Step 2: Convert to fraction form
   2,650.64/3,976.56 = 1,417.40/x
3. Step 3: Cross multiply
   2,650.64x = 3,976.56 × 1,417.40
4. Step 4: Simplify right side
   2,650.64x = 5,636,376.14
5. Step 5: Solve for x
   x = 5,636,376.14/2,650.64
6. Step 6: Final answer
   x = 2,126.42