Finding the Fourth Proportional to 1,453.20, 2,005.47 and 863.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,453.20 : 2,005.47 = 863.82 : x
2. Step 2: Convert to fraction form
   1,453.20/2,005.47 = 863.82/x
3. Step 3: Cross multiply
   1,453.20x = 2,005.47 × 863.82
4. Step 4: Simplify right side
   1,453.20x = 1,732,365.10
5. Step 5: Solve for x
   x = 1,732,365.10/1,453.20
6. Step 6: Final answer
   x = 1,192.10