Finding the Fourth Proportional to 6,465.37, 9,691.15 and 3,686.06

Step by Step Solution

1. Step 1: Write the proportion equation
   6,465.37 : 9,691.15 = 3,686.06 : x
2. Step 2: Convert to fraction form
   6,465.37/9,691.15 = 3,686.06/x
3. Step 3: Cross multiply
   6,465.37x = 9,691.15 × 3,686.06
4. Step 4: Simplify right side
   6,465.37x = 35,722,138.15
5. Step 5: Solve for x
   x = 35,722,138.15/6,465.37
6. Step 6: Final answer
   x = 5,525.15