Finding the Fourth Proportional to 10,421.42, 14,381.52 and 5,705.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,421.42 : 14,381.52 = 5,705.78 : x
2. Step 2: Convert to fraction form
   10,421.42/14,381.52 = 5,705.78/x
3. Step 3: Cross multiply
   10,421.42x = 14,381.52 × 5,705.78
4. Step 4: Simplify right side
   10,421.42x = 82,057,789.19
5. Step 5: Solve for x
   x = 82,057,789.19/10,421.42
6. Step 6: Final answer
   x = 7,873.95