Finding the Fourth Proportional to 6,820.16, 9,410.88 and 4,465.60

Step by Step Solution

1. Step 1: Write the proportion equation
   6,820.16 : 9,410.88 = 4,465.60 : x
2. Step 2: Convert to fraction form
   6,820.16/9,410.88 = 4,465.60/x
3. Step 3: Cross multiply
   6,820.16x = 9,410.88 × 4,465.60
4. Step 4: Simplify right side
   6,820.16x = 42,025,225.73
5. Step 5: Solve for x
   x = 42,025,225.73/6,820.16
6. Step 6: Final answer
   x = 6,161.91