Finding the Fourth Proportional to 12,714.50, 17,546.02 and 7,746.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,714.50 : 17,546.02 = 7,746.50 : x
2. Step 2: Convert to fraction form
   12,714.50/17,546.02 = 7,746.50/x
3. Step 3: Cross multiply
   12,714.50x = 17,546.02 × 7,746.50
4. Step 4: Simplify right side
   12,714.50x = 135,920,243.93
5. Step 5: Solve for x
   x = 135,920,243.93/12,714.50
6. Step 6: Final answer
   x = 10,690.18