Finding the Fourth Proportional to 7,836.53, 10,814.42 and 4,299.76

Step by Step Solution

1. Step 1: Write the proportion equation
   7,836.53 : 10,814.42 = 4,299.76 : x
2. Step 2: Convert to fraction form
   7,836.53/10,814.42 = 4,299.76/x
3. Step 3: Cross multiply
   7,836.53x = 10,814.42 × 4,299.76
4. Step 4: Simplify right side
   7,836.53x = 46,499,413.31
5. Step 5: Solve for x
   x = 46,499,413.31/7,836.53
6. Step 6: Final answer
   x = 5,933.68