Finding the Fourth Proportional to 10,421.25, 14,381.37 and 5,705.61

Step by Step Solution

1. Step 1: Write the proportion equation
   10,421.25 : 14,381.37 = 5,705.61 : x
2. Step 2: Convert to fraction form
   10,421.25/14,381.37 = 5,705.61/x
3. Step 3: Cross multiply
   10,421.25x = 14,381.37 × 5,705.61
4. Step 4: Simplify right side
   10,421.25x = 82,054,488.49
5. Step 5: Solve for x
   x = 82,054,488.49/10,421.25
6. Step 6: Final answer
   x = 7,873.77