Finding the Fourth Proportional to 2,074.38, 3,111.84 and 776.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,074.38 : 3,111.84 = 776.76 : x
2. Step 2: Convert to fraction form
   2,074.38/3,111.84 = 776.76/x
3. Step 3: Cross multiply
   2,074.38x = 3,111.84 × 776.76
4. Step 4: Simplify right side
   2,074.38x = 2,417,152.84
5. Step 5: Solve for x
   x = 2,417,152.84/2,074.38
6. Step 6: Final answer
   x = 1,165.24