Finding the Fourth Proportional to 1,205.31, 1,663.89 and 763.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,205.31 : 1,663.89 = 763.82 : x
2. Step 2: Convert to fraction form
   1,205.31/1,663.89 = 763.82/x
3. Step 3: Cross multiply
   1,205.31x = 1,663.89 × 763.82
4. Step 4: Simplify right side
   1,205.31x = 1,270,904.14
5. Step 5: Solve for x
   x = 1,270,904.14/1,205.31
6. Step 6: Final answer
   x = 1,054.42