Finding the Fourth Proportional to 11,709.32, 16,147.86 and 7,723.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,709.32 : 16,147.86 = 7,723.50 : x
2. Step 2: Convert to fraction form
   11,709.32/16,147.86 = 7,723.50/x
3. Step 3: Cross multiply
   11,709.32x = 16,147.86 × 7,723.50
4. Step 4: Simplify right side
   11,709.32x = 124,717,996.71
5. Step 5: Solve for x
   x = 124,717,996.71/11,709.32
6. Step 6: Final answer
   x = 10,651.17