Finding the Fourth Proportional to 2,742.34, 3,784.50 and 1,563.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,742.34 : 3,784.50 = 1,563.52 : x
2. Step 2: Convert to fraction form
   2,742.34/3,784.50 = 1,563.52/x
3. Step 3: Cross multiply
   2,742.34x = 3,784.50 × 1,563.52
4. Step 4: Simplify right side
   2,742.34x = 5,917,141.44
5. Step 5: Solve for x
   x = 5,917,141.44/2,742.34
6. Step 6: Final answer
   x = 2,157.70