Finding the Fourth Proportional to 2,424.67, 3,634.69 and 780.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,424.67 : 3,634.69 = 780.06 : x
2. Step 2: Convert to fraction form
   2,424.67/3,634.69 = 780.06/x
3. Step 3: Cross multiply
   2,424.67x = 3,634.69 × 780.06
4. Step 4: Simplify right side
   2,424.67x = 2,835,276.28
5. Step 5: Solve for x
   x = 2,835,276.28/2,424.67
6. Step 6: Final answer
   x = 1,169.35