Finding the Fourth Proportional to 5,337.65, 8,006.72 and 3,784.61

Step by Step Solution

1. Step 1: Write the proportion equation
   5,337.65 : 8,006.72 = 3,784.61 : x
2. Step 2: Convert to fraction form
   5,337.65/8,006.72 = 3,784.61/x
3. Step 3: Cross multiply
   5,337.65x = 8,006.72 × 3,784.61
4. Step 4: Simplify right side
   5,337.65x = 30,302,253.62
5. Step 5: Solve for x
   x = 30,302,253.62/5,337.65
6. Step 6: Final answer
   x = 5,677.08