Finding the Fourth Proportional to 1,309.97, 1,807.43 and 742.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,309.97 : 1,807.43 = 742.82 : x
2. Step 2: Convert to fraction form
   1,309.97/1,807.43 = 742.82/x
3. Step 3: Cross multiply
   1,309.97x = 1,807.43 × 742.82
4. Step 4: Simplify right side
   1,309.97x = 1,342,582.40
5. Step 5: Solve for x
   x = 1,342,582.40/1,309.97
6. Step 6: Final answer
   x = 1,024.89