Finding the Fourth Proportional to 2,648.64, 3,973.56 and 1,415.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,648.64 : 3,973.56 = 1,415.40 : x
2. Step 2: Convert to fraction form
   2,648.64/3,973.56 = 1,415.40/x
3. Step 3: Cross multiply
   2,648.64x = 3,973.56 × 1,415.40
4. Step 4: Simplify right side
   2,648.64x = 5,624,176.82
5. Step 5: Solve for x
   x = 5,624,176.82/2,648.64
6. Step 6: Final answer
   x = 2,123.42