Finding the Fourth Proportional to 10,420.89, 14,380.81 and 5,705.26

Step by Step Solution

1. Step 1: Write the proportion equation
   10,420.89 : 14,380.81 = 5,705.26 : x
2. Step 2: Convert to fraction form
   10,420.89/14,380.81 = 5,705.26/x
3. Step 3: Cross multiply
   10,420.89x = 14,380.81 × 5,705.26
4. Step 4: Simplify right side
   10,420.89x = 82,046,260.06
5. Step 5: Solve for x
   x = 82,046,260.06/10,420.89
6. Step 6: Final answer
   x = 7,873.25