Finding the Fourth Proportional to 1,453.22, 2,005.71 and 864.08

Step by Step Solution

1. Step 1: Write the proportion equation
   1,453.22 : 2,005.71 = 864.08 : x
2. Step 2: Convert to fraction form
   1,453.22/2,005.71 = 864.08/x
3. Step 3: Cross multiply
   1,453.22x = 2,005.71 × 864.08
4. Step 4: Simplify right side
   1,453.22x = 1,733,093.90
5. Step 5: Solve for x
   x = 1,733,093.90/1,453.22
6. Step 6: Final answer
   x = 1,192.59