Finding the Fourth Proportional to 2,637.56, 3,958.72 and 1,406

Step by Step Solution

1. Step 1: Write the proportion equation
   2,637.56 : 3,958.72 = 1,406 : x
2. Step 2: Convert to fraction form
   2,637.56/3,958.72 = 1,406/x
3. Step 3: Cross multiply
   2,637.56x = 3,958.72 × 1,406
4. Step 4: Simplify right side
   2,637.56x = 5,565,960.32
5. Step 5: Solve for x
   x = 5,565,960.32/2,637.56
6. Step 6: Final answer
   x = 2,110.27