Finding the Fourth Proportional to 6,782.82, 10,175.18 and 3,085.98

Step by Step Solution

1. Step 1: Write the proportion equation
   6,782.82 : 10,175.18 = 3,085.98 : x
2. Step 2: Convert to fraction form
   6,782.82/10,175.18 = 3,085.98/x
3. Step 3: Cross multiply
   6,782.82x = 10,175.18 × 3,085.98
4. Step 4: Simplify right side
   6,782.82x = 31,400,386.55
5. Step 5: Solve for x
   x = 31,400,386.55/6,782.82
6. Step 6: Final answer
   x = 4,629.40