Finding the Fourth Proportional to 2,162.79, 3,245.57 and 776.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,162.79 : 3,245.57 = 776.10 : x
2. Step 2: Convert to fraction form
   2,162.79/3,245.57 = 776.10/x
3. Step 3: Cross multiply
   2,162.79x = 3,245.57 × 776.10
4. Step 4: Simplify right side
   2,162.79x = 2,518,870.83
5. Step 5: Solve for x
   x = 2,518,870.83/2,162.79
6. Step 6: Final answer
   x = 1,164.64