Finding the Fourth Proportional to 2,509.07, 3,763.56 and 777.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,509.07 : 3,763.56 = 777.69 : x
2. Step 2: Convert to fraction form
   2,509.07/3,763.56 = 777.69/x
3. Step 3: Cross multiply
   2,509.07x = 3,763.56 × 777.69
4. Step 4: Simplify right side
   2,509.07x = 2,926,885.89
5. Step 5: Solve for x
   x = 2,926,885.89/2,509.07
6. Step 6: Final answer
   x = 1,166.52