Finding the Fourth Proportional to 10,420.65, 14,380.47 and 5,705.01

Step by Step Solution

1. Step 1: Write the proportion equation
   10,420.65 : 14,380.47 = 5,705.01 : x
2. Step 2: Convert to fraction form
   10,420.65/14,380.47 = 5,705.01/x
3. Step 3: Cross multiply
   10,420.65x = 14,380.47 × 5,705.01
4. Step 4: Simplify right side
   10,420.65x = 82,040,725.15
5. Step 5: Solve for x
   x = 82,040,725.15/10,420.65
6. Step 6: Final answer
   x = 7,872.90