Finding the Fourth Proportional to 7,546.17, 10,413.96 and 4,188.72

Step by Step Solution

1. Step 1: Write the proportion equation
   7,546.17 : 10,413.96 = 4,188.72 : x
2. Step 2: Convert to fraction form
   7,546.17/10,413.96 = 4,188.72/x
3. Step 3: Cross multiply
   7,546.17x = 10,413.96 × 4,188.72
4. Step 4: Simplify right side
   7,546.17x = 43,621,162.53
5. Step 5: Solve for x
   x = 43,621,162.53/7,546.17
6. Step 6: Final answer
   x = 5,780.57