Finding the Fourth Proportional to 6,465.34, 8,921.91 and 3,812.86

Step by Step Solution

1. Step 1: Write the proportion equation
   6,465.34 : 8,921.91 = 3,812.86 : x
2. Step 2: Convert to fraction form
   6,465.34/8,921.91 = 3,812.86/x
3. Step 3: Cross multiply
   6,465.34x = 8,921.91 × 3,812.86
4. Step 4: Simplify right side
   6,465.34x = 34,017,993.76
5. Step 5: Solve for x
   x = 34,017,993.76/6,465.34
6. Step 6: Final answer
   x = 5,261.59