Finding the Fourth Proportional to 2,742.51, 3,785.00 and 1,563.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,742.51 : 3,785.00 = 1,563.78 : x
2. Step 2: Convert to fraction form
   2,742.51/3,785.00 = 1,563.78/x
3. Step 3: Cross multiply
   2,742.51x = 3,785.00 × 1,563.78
4. Step 4: Simplify right side
   2,742.51x = 5,918,899.48
5. Step 5: Solve for x
   x = 5,918,899.48/2,742.51
6. Step 6: Final answer
   x = 2,158.21