Finding the Fourth Proportional to 7,077.33, 10,616.04 and 3,180.78

Step by Step Solution

1. Step 1: Write the proportion equation
   7,077.33 : 10,616.04 = 3,180.78 : x
2. Step 2: Convert to fraction form
   7,077.33/10,616.04 = 3,180.78/x
3. Step 3: Cross multiply
   7,077.33x = 10,616.04 × 3,180.78
4. Step 4: Simplify right side
   7,077.33x = 33,767,287.71
5. Step 5: Solve for x
   x = 33,767,287.71/7,077.33
6. Step 6: Final answer
   x = 4,771.19