Finding the Fourth Proportional to 7,764.52, 10,714.08 and 5,665

Step by Step Solution

1. Step 1: Write the proportion equation
   7,764.52 : 10,714.08 = 5,665 : x
2. Step 2: Convert to fraction form
   7,764.52/10,714.08 = 5,665/x
3. Step 3: Cross multiply
   7,764.52x = 10,714.08 × 5,665
4. Step 4: Simplify right side
   7,764.52x = 60,695,263.20
5. Step 5: Solve for x
   x = 60,695,263.20/7,764.52
6. Step 6: Final answer
   x = 7,817.00