Finding the Fourth Proportional to 6,184.28, 8,534.32 and 3,667.65

Step by Step Solution

1. Step 1: Write the proportion equation
   6,184.28 : 8,534.32 = 3,667.65 : x
2. Step 2: Convert to fraction form
   6,184.28/8,534.32 = 3,667.65/x
3. Step 3: Cross multiply
   6,184.28x = 8,534.32 × 3,667.65
4. Step 4: Simplify right side
   6,184.28x = 31,300,857.58
5. Step 5: Solve for x
   x = 31,300,857.58/6,184.28
6. Step 6: Final answer
   x = 5,061.36