Finding the Fourth Proportional to 10,420.83, 14,380.97 and 5,705.41

Step by Step Solution

1. Step 1: Write the proportion equation
   10,420.83 : 14,380.97 = 5,705.41 : x
2. Step 2: Convert to fraction form
   10,420.83/14,380.97 = 5,705.41/x
3. Step 3: Cross multiply
   10,420.83x = 14,380.97 × 5,705.41
4. Step 4: Simplify right side
   10,420.83x = 82,049,330.05
5. Step 5: Solve for x
   x = 82,049,330.05/10,420.83
6. Step 6: Final answer
   x = 7,873.59