Finding the Fourth Proportional to 9,419.14, 12,997.83 and 5,386.39

Step by Step Solution

1. Step 1: Write the proportion equation
   9,419.14 : 12,997.83 = 5,386.39 : x
2. Step 2: Convert to fraction form
   9,419.14/12,997.83 = 5,386.39/x
3. Step 3: Cross multiply
   9,419.14x = 12,997.83 × 5,386.39
4. Step 4: Simplify right side
   9,419.14x = 70,011,381.53
5. Step 5: Solve for x
   x = 70,011,381.53/9,419.14
6. Step 6: Final answer
   x = 7,432.88