Finding the Fourth Proportional to 2,766.24, 3,816.96 and 1,524

Step by Step Solution

1. Step 1: Write the proportion equation
   2,766.24 : 3,816.96 = 1,524 : x
2. Step 2: Convert to fraction form
   2,766.24/3,816.96 = 1,524/x
3. Step 3: Cross multiply
   2,766.24x = 3,816.96 × 1,524
4. Step 4: Simplify right side
   2,766.24x = 5,817,047.04
5. Step 5: Solve for x
   x = 5,817,047.04/2,766.24
6. Step 6: Final answer
   x = 2,102.87