Finding the Fourth Proportional to 10,402.45, 14,355.36 and 5,686.73

Step by Step Solution

1. Step 1: Write the proportion equation
   10,402.45 : 14,355.36 = 5,686.73 : x
2. Step 2: Convert to fraction form
   10,402.45/14,355.36 = 5,686.73/x
3. Step 3: Cross multiply
   10,402.45x = 14,355.36 × 5,686.73
4. Step 4: Simplify right side
   10,402.45x = 81,635,056.37
5. Step 5: Solve for x
   x = 81,635,056.37/10,402.45
6. Step 6: Final answer
   x = 7,847.68