Finding the Fourth Proportional to 10,092, 13,926.96 and 5,676

Step by Step Solution

1. Step 1: Write the proportion equation
   10,092 : 13,926.96 = 5,676 : x
2. Step 2: Convert to fraction form
   10,092/13,926.96 = 5,676/x
3. Step 3: Cross multiply
   10,092x = 13,926.96 × 5,676
4. Step 4: Simplify right side
   10,092x = 79,049,424.96
5. Step 5: Solve for x
   x = 79,049,424.96/10,092
6. Step 6: Final answer
   x = 7,832.88