Finding the Fourth Proportional to 10,421.68, 14,381.63 and 5,945.34

Step by Step Solution

1. Step 1: Write the proportion equation
   10,421.68 : 14,381.63 = 5,945.34 : x
2. Step 2: Convert to fraction form
   10,421.68/14,381.63 = 5,945.34/x
3. Step 3: Cross multiply
   10,421.68x = 14,381.63 × 5,945.34
4. Step 4: Simplify right side
   10,421.68x = 85,503,680.10
5. Step 5: Solve for x
   x = 85,503,680.10/10,421.68
6. Step 6: Final answer
   x = 8,204.40