Finding the Fourth Proportional to 6,945.16, 9,582.42 and 4,462.60

Step by Step Solution

1. Step 1: Write the proportion equation
   6,945.16 : 9,582.42 = 4,462.60 : x
2. Step 2: Convert to fraction form
   6,945.16/9,582.42 = 4,462.60/x
3. Step 3: Cross multiply
   6,945.16x = 9,582.42 × 4,462.60
4. Step 4: Simplify right side
   6,945.16x = 42,762,507.49
5. Step 5: Solve for x
   x = 42,762,507.49/6,945.16
6. Step 6: Final answer
   x = 6,157.17