Finding the Fourth Proportional to 10,139.54, 13,992.64 and 5,663.35

Step by Step Solution

1. Step 1: Write the proportion equation
   10,139.54 : 13,992.64 = 5,663.35 : x
2. Step 2: Convert to fraction form
   10,139.54/13,992.64 = 5,663.35/x
3. Step 3: Cross multiply
   10,139.54x = 13,992.64 × 5,663.35
4. Step 4: Simplify right side
   10,139.54x = 79,245,217.74
5. Step 5: Solve for x
   x = 79,245,217.74/10,139.54
6. Step 6: Final answer
   x = 7,815.46