Finding the Fourth Proportional to 6,309.86, 9,454.01 and 4,457.40

Step by Step Solution

1. Step 1: Write the proportion equation
   6,309.86 : 9,454.01 = 4,457.40 : x
2. Step 2: Convert to fraction form
   6,309.86/9,454.01 = 4,457.40/x
3. Step 3: Cross multiply
   6,309.86x = 9,454.01 × 4,457.40
4. Step 4: Simplify right side
   6,309.86x = 42,140,281.89
5. Step 5: Solve for x
   x = 42,140,281.89/6,309.86
6. Step 6: Final answer
   x = 6,678.49