Finding the Fourth Proportional to 1,453.59, 2,005.47 and 864.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,453.59 : 2,005.47 = 864.14 : x
2. Step 2: Convert to fraction form
   1,453.59/2,005.47 = 864.14/x
3. Step 3: Cross multiply
   1,453.59x = 2,005.47 × 864.14
4. Step 4: Simplify right side
   1,453.59x = 1,732,996.82
5. Step 5: Solve for x
   x = 1,732,996.82/1,453.59
6. Step 6: Final answer
   x = 1,192.22