Finding the Fourth Proportional to 10,090.59, 13,924.62 and 5,614.53

Step by Step Solution

1. Step 1: Write the proportion equation
   10,090.59 : 13,924.62 = 5,614.53 : x
2. Step 2: Convert to fraction form
   10,090.59/13,924.62 = 5,614.53/x
3. Step 3: Cross multiply
   10,090.59x = 13,924.62 × 5,614.53
4. Step 4: Simplify right side
   10,090.59x = 78,180,196.73
5. Step 5: Solve for x
   x = 78,180,196.73/10,090.59
6. Step 6: Final answer
   x = 7,747.83