Finding the Fourth Proportional to 1,453.18, 2,005.78 and 864.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,453.18 : 2,005.78 = 864.12 : x
2. Step 2: Convert to fraction form
   1,453.18/2,005.78 = 864.12/x
3. Step 3: Cross multiply
   1,453.18x = 2,005.78 × 864.12
4. Step 4: Simplify right side
   1,453.18x = 1,733,234.61
5. Step 5: Solve for x
   x = 1,733,234.61/1,453.18
6. Step 6: Final answer
   x = 1,192.72