Finding the Fourth Proportional to 10,420.87, 14,380.69 and 5,705.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,420.87 : 14,380.69 = 5,705.16 : x
2. Step 2: Convert to fraction form
   10,420.87/14,380.69 = 5,705.16/x
3. Step 3: Cross multiply
   10,420.87x = 14,380.69 × 5,705.16
4. Step 4: Simplify right side
   10,420.87x = 82,044,137.36
5. Step 5: Solve for x
   x = 82,044,137.36/10,420.87
6. Step 6: Final answer
   x = 7,873.06