Finding the Fourth Proportional to 6,002.38, 8,981.64 and 3,653.82

Step by Step Solution

1. Step 1: Write the proportion equation
   6,002.38 : 8,981.64 = 3,653.82 : x
2. Step 2: Convert to fraction form
   6,002.38/8,981.64 = 3,653.82/x
3. Step 3: Cross multiply
   6,002.38x = 8,981.64 × 3,653.82
4. Step 4: Simplify right side
   6,002.38x = 32,817,295.86
5. Step 5: Solve for x
   x = 32,817,295.86/6,002.38
6. Step 6: Final answer
   x = 5,467.38