Finding the Fourth Proportional to 7,762.05, 10,691.23 and 5,966.10

Step by Step Solution

1. Step 1: Write the proportion equation
   7,762.05 : 10,691.23 = 5,966.10 : x
2. Step 2: Convert to fraction form
   7,762.05/10,691.23 = 5,966.10/x
3. Step 3: Cross multiply
   7,762.05x = 10,691.23 × 5,966.10
4. Step 4: Simplify right side
   7,762.05x = 63,784,864.02
5. Step 5: Solve for x
   x = 63,784,864.02/7,762.05
6. Step 6: Final answer
   x = 8,217.53