Finding the Fourth Proportional to 2,723.84, 4,085.76 and 749.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,723.84 : 4,085.76 = 749.50 : x
2. Step 2: Convert to fraction form
   2,723.84/4,085.76 = 749.50/x
3. Step 3: Cross multiply
   2,723.84x = 4,085.76 × 749.50
4. Step 4: Simplify right side
   2,723.84x = 3,062,265.50
5. Step 5: Solve for x
   x = 3,062,265.50/2,723.84
6. Step 6: Final answer
   x = 1,124.24