Finding the Fourth Proportional to 1,805.91, 2,709.35 and 765.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,805.91 : 2,709.35 = 765.96 : x
2. Step 2: Convert to fraction form
   1,805.91/2,709.35 = 765.96/x
3. Step 3: Cross multiply
   1,805.91x = 2,709.35 × 765.96
4. Step 4: Simplify right side
   1,805.91x = 2,075,242.61
5. Step 5: Solve for x
   x = 2,075,242.61/1,805.91
6. Step 6: Final answer
   x = 1,149.14