Finding the Fourth Proportional to 9,586.65, 13,225.28 and 5,606.01

Step by Step Solution

1. Step 1: Write the proportion equation
   9,586.65 : 13,225.28 = 5,606.01 : x
2. Step 2: Convert to fraction form
   9,586.65/13,225.28 = 5,606.01/x
3. Step 3: Cross multiply
   9,586.65x = 13,225.28 × 5,606.01
4. Step 4: Simplify right side
   9,586.65x = 74,141,023.90
5. Step 5: Solve for x
   x = 74,141,023.90/9,586.65
6. Step 6: Final answer
   x = 7,733.78