Finding the Fourth Proportional to 10,139.51, 13,992.12 and 5,663.18

Step by Step Solution

1. Step 1: Write the proportion equation
   10,139.51 : 13,992.12 = 5,663.18 : x
2. Step 2: Convert to fraction form
   10,139.51/13,992.12 = 5,663.18/x
3. Step 3: Cross multiply
   10,139.51x = 13,992.12 × 5,663.18
4. Step 4: Simplify right side
   10,139.51x = 79,239,824.18
5. Step 5: Solve for x
   x = 79,239,824.18/10,139.51
6. Step 6: Final answer
   x = 7,814.96