Finding the Fourth Proportional to 10,140.21, 13,992.58 and 5,663.34

Step by Step Solution

1. Step 1: Write the proportion equation
   10,140.21 : 13,992.58 = 5,663.34 : x
2. Step 2: Convert to fraction form
   10,140.21/13,992.58 = 5,663.34/x
3. Step 3: Cross multiply
   10,140.21x = 13,992.58 × 5,663.34
4. Step 4: Simplify right side
   10,140.21x = 79,244,723.86
5. Step 5: Solve for x
   x = 79,244,723.86/10,140.21
6. Step 6: Final answer
   x = 7,814.90