Finding the Fourth Proportional to 6,782.61, 10,165.72 and 3,081.12

Step by Step Solution

1. Step 1: Write the proportion equation
   6,782.61 : 10,165.72 = 3,081.12 : x
2. Step 2: Convert to fraction form
   6,782.61/10,165.72 = 3,081.12/x
3. Step 3: Cross multiply
   6,782.61x = 10,165.72 × 3,081.12
4. Step 4: Simplify right side
   6,782.61x = 31,321,803.21
5. Step 5: Solve for x
   x = 31,321,803.21/6,782.61
6. Step 6: Final answer
   x = 4,617.96