Finding the Fourth Proportional to 7,586.56, 10,462.50 and 5,200

Step by Step Solution

1. Step 1: Write the proportion equation
   7,586.56 : 10,462.50 = 5,200 : x
2. Step 2: Convert to fraction form
   7,586.56/10,462.50 = 5,200/x
3. Step 3: Cross multiply
   7,586.56x = 10,462.50 × 5,200
4. Step 4: Simplify right side
   7,586.56x = 54,405,000
5. Step 5: Solve for x
   x = 54,405,000/7,586.56
6. Step 6: Final answer
   x = 7,171.23