Finding the Fourth Proportional to 9,581.84, 13,222.86 and 5,390

Step by Step Solution

1. Step 1: Write the proportion equation
   9,581.84 : 13,222.86 = 5,390 : x
2. Step 2: Convert to fraction form
   9,581.84/13,222.86 = 5,390/x
3. Step 3: Cross multiply
   9,581.84x = 13,222.86 × 5,390
4. Step 4: Simplify right side
   9,581.84x = 71,271,215.40
5. Step 5: Solve for x
   x = 71,271,215.40/9,581.84
6. Step 6: Final answer
   x = 7,438.16