Finding the Fourth Proportional to 1,748.78, 2,624.52 and 775.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,748.78 : 2,624.52 = 775.52 : x
2. Step 2: Convert to fraction form
   1,748.78/2,624.52 = 775.52/x
3. Step 3: Cross multiply
   1,748.78x = 2,624.52 × 775.52
4. Step 4: Simplify right side
   1,748.78x = 2,035,367.75
5. Step 5: Solve for x
   x = 2,035,367.75/1,748.78
6. Step 6: Final answer
   x = 1,163.88