Finding the Fourth Proportional to 10,377.82, 14,321.28 and 5,662

Step by Step Solution

1. Step 1: Write the proportion equation
   10,377.82 : 14,321.28 = 5,662 : x
2. Step 2: Convert to fraction form
   10,377.82/14,321.28 = 5,662/x
3. Step 3: Cross multiply
   10,377.82x = 14,321.28 × 5,662
4. Step 4: Simplify right side
   10,377.82x = 81,087,087.36
5. Step 5: Solve for x
   x = 81,087,087.36/10,377.82
6. Step 6: Final answer
   x = 7,813.50