Finding the Fourth Proportional to 1,576.78, 2,365.83 and 797.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,576.78 : 2,365.83 = 797.50 : x
2. Step 2: Convert to fraction form
   1,576.78/2,365.83 = 797.50/x
3. Step 3: Cross multiply
   1,576.78x = 2,365.83 × 797.50
4. Step 4: Simplify right side
   1,576.78x = 1,886,749.43
5. Step 5: Solve for x
   x = 1,886,749.43/1,576.78
6. Step 6: Final answer
   x = 1,196.58