Finding the Fourth Proportional to 10,420.32, 14,380.20 and 5,705.04

Step by Step Solution

1. Step 1: Write the proportion equation
   10,420.32 : 14,380.20 = 5,705.04 : x
2. Step 2: Convert to fraction form
   10,420.32/14,380.20 = 5,705.04/x
3. Step 3: Cross multiply
   10,420.32x = 14,380.20 × 5,705.04
4. Step 4: Simplify right side
   10,420.32x = 82,039,616.21
5. Step 5: Solve for x
   x = 82,039,616.21/10,420.32
6. Step 6: Final answer
   x = 7,873.04