Finding the Fourth Proportional to 10,139.38, 13,992.06 and 5,663

Step by Step Solution

1. Step 1: Write the proportion equation
   10,139.38 : 13,992.06 = 5,663 : x
2. Step 2: Convert to fraction form
   10,139.38/13,992.06 = 5,663/x
3. Step 3: Cross multiply
   10,139.38x = 13,992.06 × 5,663
4. Step 4: Simplify right side
   10,139.38x = 79,237,035.78
5. Step 5: Solve for x
   x = 79,237,035.78/10,139.38
6. Step 6: Final answer
   x = 7,814.78