Finding the Fourth Proportional to 6,304.10, 9,461.98 and 3,186.30

Step by Step Solution

1. Step 1: Write the proportion equation
   6,304.10 : 9,461.98 = 3,186.30 : x
2. Step 2: Convert to fraction form
   6,304.10/9,461.98 = 3,186.30/x
3. Step 3: Cross multiply
   6,304.10x = 9,461.98 × 3,186.30
4. Step 4: Simplify right side
   6,304.10x = 30,148,746.34
5. Step 5: Solve for x
   x = 30,148,746.34/6,304.10
6. Step 6: Final answer
   x = 4,782.41