Finding the Fourth Proportional to 6,877.80, 10,309.34 and 3,175.72

Step by Step Solution

1. Step 1: Write the proportion equation
   6,877.80 : 10,309.34 = 3,175.72 : x
2. Step 2: Convert to fraction form
   6,877.80/10,309.34 = 3,175.72/x
3. Step 3: Cross multiply
   6,877.80x = 10,309.34 × 3,175.72
4. Step 4: Simplify right side
   6,877.80x = 32,739,577.22
5. Step 5: Solve for x
   x = 32,739,577.22/6,877.80
6. Step 6: Final answer
   x = 4,760.18