Finding the Fourth Proportional to 1,309.72, 1,807.32 and 785.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,309.72 : 1,807.32 = 785.56 : x
2. Step 2: Convert to fraction form
   1,309.72/1,807.32 = 785.56/x
3. Step 3: Cross multiply
   1,309.72x = 1,807.32 × 785.56
4. Step 4: Simplify right side
   1,309.72x = 1,419,758.30
5. Step 5: Solve for x
   x = 1,419,758.30/1,309.72
6. Step 6: Final answer
   x = 1,084.02