Finding the Fourth Proportional to 1,807.23, 2,709.69 and 766.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,807.23 : 2,709.69 = 766.96 : x
2. Step 2: Convert to fraction form
   1,807.23/2,709.69 = 766.96/x
3. Step 3: Cross multiply
   1,807.23x = 2,709.69 × 766.96
4. Step 4: Simplify right side
   1,807.23x = 2,078,215.63
5. Step 5: Solve for x
   x = 2,078,215.63/1,807.23
6. Step 6: Final answer
   x = 1,149.94