Finding the Fourth Proportional to 9,646.91, 13,308.52 and 5,666.23

Step by Step Solution

1. Step 1: Write the proportion equation
   9,646.91 : 13,308.52 = 5,666.23 : x
2. Step 2: Convert to fraction form
   9,646.91/13,308.52 = 5,666.23/x
3. Step 3: Cross multiply
   9,646.91x = 13,308.52 × 5,666.23
4. Step 4: Simplify right side
   9,646.91x = 75,409,117.04
5. Step 5: Solve for x
   x = 75,409,117.04/9,646.91
6. Step 6: Final answer
   x = 7,816.92