Finding the Fourth Proportional to 2,421.74, 3,632.69 and 778.07

Step by Step Solution

1. Step 1: Write the proportion equation
   2,421.74 : 3,632.69 = 778.07 : x
2. Step 2: Convert to fraction form
   2,421.74/3,632.69 = 778.07/x
3. Step 3: Cross multiply
   2,421.74x = 3,632.69 × 778.07
4. Step 4: Simplify right side
   2,421.74x = 2,826,470.89
5. Step 5: Solve for x
   x = 2,826,470.89/2,421.74
6. Step 6: Final answer
   x = 1,167.13