Finding the Fourth Proportional to 11,697.72, 17,526.78 and 7,071

Step by Step Solution

1. Step 1: Write the proportion equation
   11,697.72 : 17,526.78 = 7,071 : x
2. Step 2: Convert to fraction form
   11,697.72/17,526.78 = 7,071/x
3. Step 3: Cross multiply
   11,697.72x = 17,526.78 × 7,071
4. Step 4: Simplify right side
   11,697.72x = 123,931,861.38
5. Step 5: Solve for x
   x = 123,931,861.38/11,697.72
6. Step 6: Final answer
   x = 10,594.53