Finding the Fourth Proportional to 2,742.56, 3,784.80 and 1,500.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,742.56 : 3,784.80 = 1,500.56 : x
2. Step 2: Convert to fraction form
   2,742.56/3,784.80 = 1,500.56/x
3. Step 3: Cross multiply
   2,742.56x = 3,784.80 × 1,500.56
4. Step 4: Simplify right side
   2,742.56x = 5,679,319.49
5. Step 5: Solve for x
   x = 5,679,319.49/2,742.56
6. Step 6: Final answer
   x = 2,070.81