Finding the Fourth Proportional to 3,824.10, 5,738.78 and 1,875.24

Step by Step Solution

1. Step 1: Write the proportion equation
   3,824.10 : 5,738.78 = 1,875.24 : x
2. Step 2: Convert to fraction form
   3,824.10/5,738.78 = 1,875.24/x
3. Step 3: Cross multiply
   3,824.10x = 5,738.78 × 1,875.24
4. Step 4: Simplify right side
   3,824.10x = 10,761,580.43
5. Step 5: Solve for x
   x = 10,761,580.43/3,824.10
6. Step 6: Final answer
   x = 2,814.15