Finding the Fourth Proportional to 2,308.06, 3,461.82 and 769.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,308.06 : 3,461.82 = 769.06 : x
2. Step 2: Convert to fraction form
   2,308.06/3,461.82 = 769.06/x
3. Step 3: Cross multiply
   2,308.06x = 3,461.82 × 769.06
4. Step 4: Simplify right side
   2,308.06x = 2,662,347.29
5. Step 5: Solve for x
   x = 2,662,347.29/2,308.06
6. Step 6: Final answer
   x = 1,153.50