Finding the Fourth Proportional to 9,705.86, 13,402.50 and 9,207.64

Step by Step Solution

1. Step 1: Write the proportion equation
   9,705.86 : 13,402.50 = 9,207.64 : x
2. Step 2: Convert to fraction form
   9,705.86/13,402.50 = 9,207.64/x
3. Step 3: Cross multiply
   9,705.86x = 13,402.50 × 9,207.64
4. Step 4: Simplify right side
   9,705.86x = 123,405,282.05
5. Step 5: Solve for x
   x = 123,405,282.05/9,705.86
6. Step 6: Final answer
   x = 12,714.51