Finding the Fourth Proportional to 10,662.40, 14,714.04 and 5,946.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,662.40 : 14,714.04 = 5,946.40 : x
2. Step 2: Convert to fraction form
   10,662.40/14,714.04 = 5,946.40/x
3. Step 3: Cross multiply
   10,662.40x = 14,714.04 × 5,946.40
4. Step 4: Simplify right side
   10,662.40x = 87,495,567.46
5. Step 5: Solve for x
   x = 87,495,567.46/10,662.40
6. Step 6: Final answer
   x = 8,205.99