Finding the Fourth Proportional to 10,090.62, 13,923.56 and 5,614.43

Step by Step Solution

1. Step 1: Write the proportion equation
   10,090.62 : 13,923.56 = 5,614.43 : x
2. Step 2: Convert to fraction form
   10,090.62/13,923.56 = 5,614.43/x
3. Step 3: Cross multiply
   10,090.62x = 13,923.56 × 5,614.43
4. Step 4: Simplify right side
   10,090.62x = 78,172,755.28
5. Step 5: Solve for x
   x = 78,172,755.28/10,090.62
6. Step 6: Final answer
   x = 7,747.07