Finding the Fourth Proportional to 1,308.24, 1,805.42 and 784.26

Step by Step Solution

1. Step 1: Write the proportion equation
   1,308.24 : 1,805.42 = 784.26 : x
2. Step 2: Convert to fraction form
   1,308.24/1,805.42 = 784.26/x
3. Step 3: Cross multiply
   1,308.24x = 1,805.42 × 784.26
4. Step 4: Simplify right side
   1,308.24x = 1,415,918.69
5. Step 5: Solve for x
   x = 1,415,918.69/1,308.24
6. Step 6: Final answer
   x = 1,082.31