Finding the Fourth Proportional to 6,004.86, 8,285.43 and 3,646.62

Step by Step Solution

1. Step 1: Write the proportion equation
   6,004.86 : 8,285.43 = 3,646.62 : x
2. Step 2: Convert to fraction form
   6,004.86/8,285.43 = 3,646.62/x
3. Step 3: Cross multiply
   6,004.86x = 8,285.43 × 3,646.62
4. Step 4: Simplify right side
   6,004.86x = 30,213,814.75
5. Step 5: Solve for x
   x = 30,213,814.75/6,004.86
6. Step 6: Final answer
   x = 5,031.56