Finding the Fourth Proportional to 9,412.82, 12,989.93 and 5,164.06

Step by Step Solution

1. Step 1: Write the proportion equation
   9,412.82 : 12,989.93 = 5,164.06 : x
2. Step 2: Convert to fraction form
   9,412.82/12,989.93 = 5,164.06/x
3. Step 3: Cross multiply
   9,412.82x = 12,989.93 × 5,164.06
4. Step 4: Simplify right side
   9,412.82x = 67,080,719.62
5. Step 5: Solve for x
   x = 67,080,719.62/9,412.82
6. Step 6: Final answer
   x = 7,126.53