Finding the Fourth Proportional to 9,361.84, 12,918.22 and 5,585.20

Step by Step Solution

1. Step 1: Write the proportion equation
   9,361.84 : 12,918.22 = 5,585.20 : x
2. Step 2: Convert to fraction form
   9,361.84/12,918.22 = 5,585.20/x
3. Step 3: Cross multiply
   9,361.84x = 12,918.22 × 5,585.20
4. Step 4: Simplify right side
   9,361.84x = 72,150,842.34
5. Step 5: Solve for x
   x = 72,150,842.34/9,361.84
6. Step 6: Final answer
   x = 7,706.91