Finding the Fourth Proportional to 10,140.39, 13,992.35 and 5,663.57

Step by Step Solution

1. Step 1: Write the proportion equation
   10,140.39 : 13,992.35 = 5,663.57 : x
2. Step 2: Convert to fraction form
   10,140.39/13,992.35 = 5,663.57/x
3. Step 3: Cross multiply
   10,140.39x = 13,992.35 × 5,663.57
4. Step 4: Simplify right side
   10,140.39x = 79,246,702.83
5. Step 5: Solve for x
   x = 79,246,702.83/10,140.39
6. Step 6: Final answer
   x = 7,814.96