Finding the Fourth Proportional to 10,139.93, 13,991.72 and 5,663.11

Step by Step Solution

1. Step 1: Write the proportion equation
   10,139.93 : 13,991.72 = 5,663.11 : x
2. Step 2: Convert to fraction form
   10,139.93/13,991.72 = 5,663.11/x
3. Step 3: Cross multiply
   10,139.93x = 13,991.72 × 5,663.11
4. Step 4: Simplify right side
   10,139.93x = 79,236,649.45
5. Step 5: Solve for x
   x = 79,236,649.45/10,139.93
6. Step 6: Final answer
   x = 7,814.32