Finding the Fourth Proportional to 1,308.96, 1,805.90 and 784.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,308.96 : 1,805.90 = 784.89 : x
2. Step 2: Convert to fraction form
   1,308.96/1,805.90 = 784.89/x
3. Step 3: Cross multiply
   1,308.96x = 1,805.90 × 784.89
4. Step 4: Simplify right side
   1,308.96x = 1,417,428.93
5. Step 5: Solve for x
   x = 1,417,428.93/1,308.96
6. Step 6: Final answer
   x = 1,082.87