Finding the Fourth Proportional to 2,338.16, 3,506.50 and 777.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,338.16 : 3,506.50 = 777.82 : x
2. Step 2: Convert to fraction form
   2,338.16/3,506.50 = 777.82/x
3. Step 3: Cross multiply
   2,338.16x = 3,506.50 × 777.82
4. Step 4: Simplify right side
   2,338.16x = 2,727,425.83
5. Step 5: Solve for x
   x = 2,727,425.83/2,338.16
6. Step 6: Final answer
   x = 1,166.48