Finding the Fourth Proportional to 1,562.89, 2,156.78 and 864.26

Step by Step Solution

1. Step 1: Write the proportion equation
   1,562.89 : 2,156.78 = 864.26 : x
2. Step 2: Convert to fraction form
   1,562.89/2,156.78 = 864.26/x
3. Step 3: Cross multiply
   1,562.89x = 2,156.78 × 864.26
4. Step 4: Simplify right side
   1,562.89x = 1,864,018.68
5. Step 5: Solve for x
   x = 1,864,018.68/1,562.89
6. Step 6: Final answer
   x = 1,192.67