Finding the Fourth Proportional to 10,420.72, 14,380.96 and 5,705

Step by Step Solution

1. Step 1: Write the proportion equation
   10,420.72 : 14,380.96 = 5,705 : x
2. Step 2: Convert to fraction form
   10,420.72/14,380.96 = 5,705/x
3. Step 3: Cross multiply
   10,420.72x = 14,380.96 × 5,705
4. Step 4: Simplify right side
   10,420.72x = 82,043,376.80
5. Step 5: Solve for x
   x = 82,043,376.80/10,420.72
6. Step 6: Final answer
   x = 7,873.10