Finding the Fourth Proportional to 1,687.24, 2,535.72 and 822.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,687.24 : 2,535.72 = 822.16 : x
2. Step 2: Convert to fraction form
   1,687.24/2,535.72 = 822.16/x
3. Step 3: Cross multiply
   1,687.24x = 2,535.72 × 822.16
4. Step 4: Simplify right side
   1,687.24x = 2,084,767.56
5. Step 5: Solve for x
   x = 2,084,767.56/1,687.24
6. Step 6: Final answer
   x = 1,235.61