Finding the Fourth Proportional to 10,090.46, 13,924.47 and 5,614.11

Step by Step Solution

1. Step 1: Write the proportion equation
   10,090.46 : 13,924.47 = 5,614.11 : x
2. Step 2: Convert to fraction form
   10,090.46/13,924.47 = 5,614.11/x
3. Step 3: Cross multiply
   10,090.46x = 13,924.47 × 5,614.11
4. Step 4: Simplify right side
   10,090.46x = 78,173,506.27
5. Step 5: Solve for x
   x = 78,173,506.27/10,090.46
6. Step 6: Final answer
   x = 7,747.27