Finding the Fourth Proportional to 2,416.71, 3,624.06 and 772.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,416.71 : 3,624.06 = 772.82 : x
2. Step 2: Convert to fraction form
   2,416.71/3,624.06 = 772.82/x
3. Step 3: Cross multiply
   2,416.71x = 3,624.06 × 772.82
4. Step 4: Simplify right side
   2,416.71x = 2,800,746.05
5. Step 5: Solve for x
   x = 2,800,746.05/2,416.71
6. Step 6: Final answer
   x = 1,158.91