Finding the Fourth Proportional to 2,829.98, 4,244.49 and 777.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,829.98 : 4,244.49 = 777.50 : x
2. Step 2: Convert to fraction form
   2,829.98/4,244.49 = 777.50/x
3. Step 3: Cross multiply
   2,829.98x = 4,244.49 × 777.50
4. Step 4: Simplify right side
   2,829.98x = 3,300,090.98
5. Step 5: Solve for x
   x = 3,300,090.98/2,829.98
6. Step 6: Final answer
   x = 1,166.12