Finding the Fourth Proportional to 1,767.50, 2,647.00 and 1,025.54

Step by Step Solution

1. Step 1: Write the proportion equation
   1,767.50 : 2,647.00 = 1,025.54 : x
2. Step 2: Convert to fraction form
   1,767.50/2,647.00 = 1,025.54/x
3. Step 3: Cross multiply
   1,767.50x = 2,647.00 × 1,025.54
4. Step 4: Simplify right side
   1,767.50x = 2,714,586.02
5. Step 5: Solve for x
   x = 2,714,586.02/1,767.50
6. Step 6: Final answer
   x = 1,535.84