Finding the Fourth Proportional to 6,461.47, 9,701.93 and 3,691.27

Step by Step Solution

1. Step 1: Write the proportion equation
   6,461.47 : 9,701.93 = 3,691.27 : x
2. Step 2: Convert to fraction form
   6,461.47/9,701.93 = 3,691.27/x
3. Step 3: Cross multiply
   6,461.47x = 9,701.93 × 3,691.27
4. Step 4: Simplify right side
   6,461.47x = 35,812,443.15
5. Step 5: Solve for x
   x = 35,812,443.15/6,461.47
6. Step 6: Final answer
   x = 5,542.46