Finding the Fourth Proportional to 9,534.48, 13,158.24 and 5,343

Step by Step Solution

1. Step 1: Write the proportion equation
   9,534.48 : 13,158.24 = 5,343 : x
2. Step 2: Convert to fraction form
   9,534.48/13,158.24 = 5,343/x
3. Step 3: Cross multiply
   9,534.48x = 13,158.24 × 5,343
4. Step 4: Simplify right side
   9,534.48x = 70,304,476.32
5. Step 5: Solve for x
   x = 70,304,476.32/9,534.48
6. Step 6: Final answer
   x = 7,373.71