Finding the Fourth Proportional to 1,453.69, 2,006.18 and 864.19

Step by Step Solution

1. Step 1: Write the proportion equation
   1,453.69 : 2,006.18 = 864.19 : x
2. Step 2: Convert to fraction form
   1,453.69/2,006.18 = 864.19/x
3. Step 3: Cross multiply
   1,453.69x = 2,006.18 × 864.19
4. Step 4: Simplify right side
   1,453.69x = 1,733,720.69
5. Step 5: Solve for x
   x = 1,733,720.69/1,453.69
6. Step 6: Final answer
   x = 1,192.63