Finding the Fourth Proportional to 9,586.82, 13,225.55 and 5,606.18

Step by Step Solution

1. Step 1: Write the proportion equation
   9,586.82 : 13,225.55 = 5,606.18 : x
2. Step 2: Convert to fraction form
   9,586.82/13,225.55 = 5,606.18/x
3. Step 3: Cross multiply
   9,586.82x = 13,225.55 × 5,606.18
4. Step 4: Simplify right side
   9,586.82x = 74,144,769.34
5. Step 5: Solve for x
   x = 74,144,769.34/9,586.82
6. Step 6: Final answer
   x = 7,734.03