Finding the Fourth Proportional to 10,614.27, 15,897.12 and 5,071.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,614.27 : 15,897.12 = 5,071.50 : x
2. Step 2: Convert to fraction form
   10,614.27/15,897.12 = 5,071.50/x
3. Step 3: Cross multiply
   10,614.27x = 15,897.12 × 5,071.50
4. Step 4: Simplify right side
   10,614.27x = 80,622,244.08
5. Step 5: Solve for x
   x = 80,622,244.08/10,614.27
6. Step 6: Final answer
   x = 7,595.65