Finding the Fourth Proportional to 10,413.32, 14,377.50 and 7,725.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,413.32 : 14,377.50 = 7,725.24 : x
2. Step 2: Convert to fraction form
   10,413.32/14,377.50 = 7,725.24/x
3. Step 3: Cross multiply
   10,413.32x = 14,377.50 × 7,725.24
4. Step 4: Simplify right side
   10,413.32x = 111,069,638.10
5. Step 5: Solve for x
   x = 111,069,638.10/10,413.32
6. Step 6: Final answer
   x = 10,666.11