Finding the Fourth Proportional to 10,421.60, 14,381.76 and 5,705.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,421.60 : 14,381.76 = 5,705.96 : x
2. Step 2: Convert to fraction form
   10,421.60/14,381.76 = 5,705.96/x
3. Step 3: Cross multiply
   10,421.60x = 14,381.76 × 5,705.96
4. Step 4: Simplify right side
   10,421.60x = 82,061,747.29
5. Step 5: Solve for x
   x = 82,061,747.29/10,421.60
6. Step 6: Final answer
   x = 7,874.20