Finding the Fourth Proportional to 9,429.82, 13,009.62 and 5,843.14

Step by Step Solution

1. Step 1: Write the proportion equation
   9,429.82 : 13,009.62 = 5,843.14 : x
2. Step 2: Convert to fraction form
   9,429.82/13,009.62 = 5,843.14/x
3. Step 3: Cross multiply
   9,429.82x = 13,009.62 × 5,843.14
4. Step 4: Simplify right side
   9,429.82x = 76,017,031.01
5. Step 5: Solve for x
   x = 76,017,031.01/9,429.82
6. Step 6: Final answer
   x = 8,061.34