Finding the Fourth Proportional to 3,742.88, 5,619.12 and 3,586.64

Step by Step Solution

1. Step 1: Write the proportion equation
   3,742.88 : 5,619.12 = 3,586.64 : x
2. Step 2: Convert to fraction form
   3,742.88/5,619.12 = 3,586.64/x
3. Step 3: Cross multiply
   3,742.88x = 5,619.12 × 3,586.64
4. Step 4: Simplify right side
   3,742.88x = 20,153,760.56
5. Step 5: Solve for x
   x = 20,153,760.56/3,742.88
6. Step 6: Final answer
   x = 5,384.56