Finding the Fourth Proportional to 1,205.02, 1,663.46 and 807.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,205.02 : 1,663.46 = 807.31 : x
2. Step 2: Convert to fraction form
   1,205.02/1,663.46 = 807.31/x
3. Step 3: Cross multiply
   1,205.02x = 1,663.46 × 807.31
4. Step 4: Simplify right side
   1,205.02x = 1,342,927.89
5. Step 5: Solve for x
   x = 1,342,927.89/1,205.02
6. Step 6: Final answer
   x = 1,114.44