Finding the Fourth Proportional to 9,586.00, 13,228.67 and 5,606.33

Step by Step Solution

1. Step 1: Write the proportion equation
   9,586.00 : 13,228.67 = 5,606.33 : x
2. Step 2: Convert to fraction form
   9,586.00/13,228.67 = 5,606.33/x
3. Step 3: Cross multiply
   9,586.00x = 13,228.67 × 5,606.33
4. Step 4: Simplify right side
   9,586.00x = 74,164,280.23
5. Step 5: Solve for x
   x = 74,164,280.23/9,586.00
6. Step 6: Final answer
   x = 7,736.73