Finding the Fourth Proportional to 1,321.57, 1,822.98 and 797.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,321.57 : 1,822.98 = 797.50 : x
2. Step 2: Convert to fraction form
   1,321.57/1,822.98 = 797.50/x
3. Step 3: Cross multiply
   1,321.57x = 1,822.98 × 797.50
4. Step 4: Simplify right side
   1,321.57x = 1,453,826.55
5. Step 5: Solve for x
   x = 1,453,826.55/1,321.57
6. Step 6: Final answer
   x = 1,100.08