Finding the Fourth Proportional to 10,090.50, 13,924.92 and 5,674.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,090.50 : 13,924.92 = 5,674.50 : x
2. Step 2: Convert to fraction form
   10,090.50/13,924.92 = 5,674.50/x
3. Step 3: Cross multiply
   10,090.50x = 13,924.92 × 5,674.50
4. Step 4: Simplify right side
   10,090.50x = 79,016,958.54
5. Step 5: Solve for x
   x = 79,016,958.54/10,090.50
6. Step 6: Final answer
   x = 7,830.83