Finding the Fourth Proportional to 6,005.40, 8,287.76 and 3,646.16

Step by Step Solution

1. Step 1: Write the proportion equation
   6,005.40 : 8,287.76 = 3,646.16 : x
2. Step 2: Convert to fraction form
   6,005.40/8,287.76 = 3,646.16/x
3. Step 3: Cross multiply
   6,005.40x = 8,287.76 × 3,646.16
4. Step 4: Simplify right side
   6,005.40x = 30,218,499.00
5. Step 5: Solve for x
   x = 30,218,499.00/6,005.40
6. Step 6: Final answer
   x = 5,031.89