Finding the Fourth Proportional to 7,764.39, 10,714.89 and 4,227.63

Step by Step Solution

1. Step 1: Write the proportion equation
   7,764.39 : 10,714.89 = 4,227.63 : x
2. Step 2: Convert to fraction form
   7,764.39/10,714.89 = 4,227.63/x
3. Step 3: Cross multiply
   7,764.39x = 10,714.89 × 4,227.63
4. Step 4: Simplify right side
   7,764.39x = 45,298,526.27
5. Step 5: Solve for x
   x = 45,298,526.27/7,764.39
6. Step 6: Final answer
   x = 5,834.14