Finding the Fourth Proportional to 6,709.94, 10,061.49 and 2,546.78

Step by Step Solution

1. Step 1: Write the proportion equation
   6,709.94 : 10,061.49 = 2,546.78 : x
2. Step 2: Convert to fraction form
   6,709.94/10,061.49 = 2,546.78/x
3. Step 3: Cross multiply
   6,709.94x = 10,061.49 × 2,546.78
4. Step 4: Simplify right side
   6,709.94x = 25,624,338.46
5. Step 5: Solve for x
   x = 25,624,338.46/6,709.94
6. Step 6: Final answer
   x = 3,818.87