Finding the Fourth Proportional to 10,154.37, 14,012.46 and 5,677.23

Step by Step Solution

1. Step 1: Write the proportion equation
   10,154.37 : 14,012.46 = 5,677.23 : x
2. Step 2: Convert to fraction form
   10,154.37/14,012.46 = 5,677.23/x
3. Step 3: Cross multiply
   10,154.37x = 14,012.46 × 5,677.23
4. Step 4: Simplify right side
   10,154.37x = 79,551,958.29
5. Step 5: Solve for x
   x = 79,551,958.29/10,154.37
6. Step 6: Final answer
   x = 7,834.26