Finding the Fourth Proportional to 2,742.50, 3,784.66 and 1,500.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,742.50 : 3,784.66 = 1,500.50 : x
2. Step 2: Convert to fraction form
   2,742.50/3,784.66 = 1,500.50/x
3. Step 3: Cross multiply
   2,742.50x = 3,784.66 × 1,500.50
4. Step 4: Simplify right side
   2,742.50x = 5,678,882.33
5. Step 5: Solve for x
   x = 5,678,882.33/2,742.50
6. Step 6: Final answer
   x = 2,070.70