Finding the Fourth Proportional to 10,853.73, 14,978.59 and 6,138

Step by Step Solution

1. Step 1: Write the proportion equation
   10,853.73 : 14,978.59 = 6,138 : x
2. Step 2: Convert to fraction form
   10,853.73/14,978.59 = 6,138/x
3. Step 3: Cross multiply
   10,853.73x = 14,978.59 × 6,138
4. Step 4: Simplify right side
   10,853.73x = 91,938,570.08
5. Step 5: Solve for x
   x = 91,938,570.08/10,853.73
6. Step 6: Final answer
   x = 8,470.69