Finding the Fourth Proportional to 10,090.40, 13,924.71 and 5,614.58

Step by Step Solution

1. Step 1: Write the proportion equation
   10,090.40 : 13,924.71 = 5,614.58 : x
2. Step 2: Convert to fraction form
   10,090.40/13,924.71 = 5,614.58/x
3. Step 3: Cross multiply
   10,090.40x = 13,924.71 × 5,614.58
4. Step 4: Simplify right side
   10,090.40x = 78,181,398.27
5. Step 5: Solve for x
   x = 78,181,398.27/10,090.40
6. Step 6: Final answer
   x = 7,748.10