Finding the Fourth Proportional to 9,540.84, 13,166.46 and 5,349

Step by Step Solution

1. Step 1: Write the proportion equation
   9,540.84 : 13,166.46 = 5,349 : x
2. Step 2: Convert to fraction form
   9,540.84/13,166.46 = 5,349/x
3. Step 3: Cross multiply
   9,540.84x = 13,166.46 × 5,349
4. Step 4: Simplify right side
   9,540.84x = 70,427,394.54
5. Step 5: Solve for x
   x = 70,427,394.54/9,540.84
6. Step 6: Final answer
   x = 7,381.68