Finding the Fourth Proportional to 10,421.65, 14,381.31 and 5,705.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,421.65 : 14,381.31 = 5,705.02 : x
2. Step 2: Convert to fraction form
   10,421.65/14,381.31 = 5,705.02/x
3. Step 3: Cross multiply
   10,421.65x = 14,381.31 × 5,705.02
4. Step 4: Simplify right side
   10,421.65x = 82,045,661.18
5. Step 5: Solve for x
   x = 82,045,661.18/10,421.65
6. Step 6: Final answer
   x = 7,872.62