Finding the Fourth Proportional to 1,563.46, 2,157.50 and 864.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,563.46 : 2,157.50 = 864.82 : x
2. Step 2: Convert to fraction form
   1,563.46/2,157.50 = 864.82/x
3. Step 3: Cross multiply
   1,563.46x = 2,157.50 × 864.82
4. Step 4: Simplify right side
   1,563.46x = 1,865,849.15
5. Step 5: Solve for x
   x = 1,865,849.15/1,563.46
6. Step 6: Final answer
   x = 1,193.41