Finding the Fourth Proportional to 12,764.18, 17,614.98 and 7,729.34

Step by Step Solution

1. Step 1: Write the proportion equation
   12,764.18 : 17,614.98 = 7,729.34 : x
2. Step 2: Convert to fraction form
   12,764.18/17,614.98 = 7,729.34/x
3. Step 3: Cross multiply
   12,764.18x = 17,614.98 × 7,729.34
4. Step 4: Simplify right side
   12,764.18x = 136,152,169.51
5. Step 5: Solve for x
   x = 136,152,169.51/12,764.18
6. Step 6: Final answer
   x = 10,666.74