Finding the Fourth Proportional to 13,513.84, 18,648.78 and 7,546.07

Step by Step Solution

1. Step 1: Write the proportion equation
   13,513.84 : 18,648.78 = 7,546.07 : x
2. Step 2: Convert to fraction form
   13,513.84/18,648.78 = 7,546.07/x
3. Step 3: Cross multiply
   13,513.84x = 18,648.78 × 7,546.07
4. Step 4: Simplify right side
   13,513.84x = 140,724,999.29
5. Step 5: Solve for x
   x = 140,724,999.29/13,513.84
6. Step 6: Final answer
   x = 10,413.40