Finding the Fourth Proportional to 5,002.56, 7,487.55 and 3,685.79

Step by Step Solution

1. Step 1: Write the proportion equation
   5,002.56 : 7,487.55 = 3,685.79 : x
2. Step 2: Convert to fraction form
   5,002.56/7,487.55 = 3,685.79/x
3. Step 3: Cross multiply
   5,002.56x = 7,487.55 × 3,685.79
4. Step 4: Simplify right side
   5,002.56x = 27,597,555.63
5. Step 5: Solve for x
   x = 27,597,555.63/5,002.56
6. Step 6: Final answer
   x = 5,516.69