Finding the Fourth Proportional to 2,176.78, 3,265.56 and 1,022.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,176.78 : 3,265.56 = 1,022.50 : x
2. Step 2: Convert to fraction form
   2,176.78/3,265.56 = 1,022.50/x
3. Step 3: Cross multiply
   2,176.78x = 3,265.56 × 1,022.50
4. Step 4: Simplify right side
   2,176.78x = 3,339,035.10
5. Step 5: Solve for x
   x = 3,339,035.10/2,176.78
6. Step 6: Final answer
   x = 1,533.93