Finding the Fourth Proportional to 6,142.77, 8,475.57 and 3,624.08

Step by Step Solution

1. Step 1: Write the proportion equation
   6,142.77 : 8,475.57 = 3,624.08 : x
2. Step 2: Convert to fraction form
   6,142.77/8,475.57 = 3,624.08/x
3. Step 3: Cross multiply
   6,142.77x = 8,475.57 × 3,624.08
4. Step 4: Simplify right side
   6,142.77x = 30,716,101.35
5. Step 5: Solve for x
   x = 30,716,101.35/6,142.77
6. Step 6: Final answer
   x = 5,000.37