Finding the Fourth Proportional to 12,814.76, 17,684.34 and 7,225.72

Step by Step Solution

1. Step 1: Write the proportion equation
   12,814.76 : 17,684.34 = 7,225.72 : x
2. Step 2: Convert to fraction form
   12,814.76/17,684.34 = 7,225.72/x
3. Step 3: Cross multiply
   12,814.76x = 17,684.34 × 7,225.72
4. Step 4: Simplify right side
   12,814.76x = 127,782,089.22
5. Step 5: Solve for x
   x = 127,782,089.22/12,814.76
6. Step 6: Final answer
   x = 9,971.48