Finding the Fourth Proportional to 1,598.78, 2,394.70 and 775.33

Step by Step Solution

1. Step 1: Write the proportion equation
   1,598.78 : 2,394.70 = 775.33 : x
2. Step 2: Convert to fraction form
   1,598.78/2,394.70 = 775.33/x
3. Step 3: Cross multiply
   1,598.78x = 2,394.70 × 775.33
4. Step 4: Simplify right side
   1,598.78x = 1,856,666.90
5. Step 5: Solve for x
   x = 1,856,666.90/1,598.78
6. Step 6: Final answer
   x = 1,161.31