Finding the Fourth Proportional to 2,494.89, 3,742.52 and 646

Step by Step Solution

1. Step 1: Write the proportion equation
   2,494.89 : 3,742.52 = 646 : x
2. Step 2: Convert to fraction form
   2,494.89/3,742.52 = 646/x
3. Step 3: Cross multiply
   2,494.89x = 3,742.52 × 646
4. Step 4: Simplify right side
   2,494.89x = 2,417,667.92
5. Step 5: Solve for x
   x = 2,417,667.92/2,494.89
6. Step 6: Final answer
   x = 969.05