Finding the Fourth Proportional to 10,090, 13,926.12 and 5,674

Step by Step Solution

1. Step 1: Write the proportion equation
   10,090 : 13,926.12 = 5,674 : x
2. Step 2: Convert to fraction form
   10,090/13,926.12 = 5,674/x
3. Step 3: Cross multiply
   10,090x = 13,926.12 × 5,674
4. Step 4: Simplify right side
   10,090x = 79,016,804.88
5. Step 5: Solve for x
   x = 79,016,804.88/10,090
6. Step 6: Final answer
   x = 7,831.20