Finding the Fourth Proportional to 9,618.33, 14,427.42 and 5,178.09

Step by Step Solution

1. Step 1: Write the proportion equation
   9,618.33 : 14,427.42 = 5,178.09 : x
2. Step 2: Convert to fraction form
   9,618.33/14,427.42 = 5,178.09/x
3. Step 3: Cross multiply
   9,618.33x = 14,427.42 × 5,178.09
4. Step 4: Simplify right side
   9,618.33x = 74,706,479.23
5. Step 5: Solve for x
   x = 74,706,479.23/9,618.33
6. Step 6: Final answer
   x = 7,767.09