Finding the Fourth Proportional to 1,520.82, 2,098.72 and 822.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,520.82 : 2,098.72 = 822.20 : x
2. Step 2: Convert to fraction form
   1,520.82/2,098.72 = 822.20/x
3. Step 3: Cross multiply
   1,520.82x = 2,098.72 × 822.20
4. Step 4: Simplify right side
   1,520.82x = 1,725,558.12
5. Step 5: Solve for x
   x = 1,725,558.12/1,520.82
6. Step 6: Final answer
   x = 1,134.62