Finding the Fourth Proportional to 2,742.84, 3,784.59 and 1,563.89

Step by Step Solution

1. Step 1: Write the proportion equation
   2,742.84 : 3,784.59 = 1,563.89 : x
2. Step 2: Convert to fraction form
   2,742.84/3,784.59 = 1,563.89/x
3. Step 3: Cross multiply
   2,742.84x = 3,784.59 × 1,563.89
4. Step 4: Simplify right side
   2,742.84x = 5,918,663.53
5. Step 5: Solve for x
   x = 5,918,663.53/2,742.84
6. Step 6: Final answer
   x = 2,157.86