Finding the Fourth Proportional to 2,742.84, 3,784.56 and 1,563.60

Step by Step Solution

1. Step 1: Write the proportion equation
   2,742.84 : 3,784.56 = 1,563.60 : x
2. Step 2: Convert to fraction form
   2,742.84/3,784.56 = 1,563.60/x
3. Step 3: Cross multiply
   2,742.84x = 3,784.56 × 1,563.60
4. Step 4: Simplify right side
   2,742.84x = 5,917,538.02
5. Step 5: Solve for x
   x = 5,917,538.02/2,742.84
6. Step 6: Final answer
   x = 2,157.45