Finding the Fourth Proportional to 1,205.53, 1,663.82 and 875.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,205.53 : 1,663.82 = 875.46 : x
2. Step 2: Convert to fraction form
   1,205.53/1,663.82 = 875.46/x
3. Step 3: Cross multiply
   1,205.53x = 1,663.82 × 875.46
4. Step 4: Simplify right side
   1,205.53x = 1,456,607.86
5. Step 5: Solve for x
   x = 1,456,607.86/1,205.53
6. Step 6: Final answer
   x = 1,208.27