Finding the Fourth Proportional to 10,662.19, 14,714.13 and 5,946.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,662.19 : 14,714.13 = 5,946.78 : x
2. Step 2: Convert to fraction form
   10,662.19/14,714.13 = 5,946.78/x
3. Step 3: Cross multiply
   10,662.19x = 14,714.13 × 5,946.78
4. Step 4: Simplify right side
   10,662.19x = 87,501,694.00
5. Step 5: Solve for x
   x = 87,501,694.00/10,662.19
6. Step 6: Final answer
   x = 8,206.73