Finding the Fourth Proportional to 9,022.86, 13,535.91 and 2,782.62

Step by Step Solution

1. Step 1: Write the proportion equation
   9,022.86 : 13,535.91 = 2,782.62 : x
2. Step 2: Convert to fraction form
   9,022.86/13,535.91 = 2,782.62/x
3. Step 3: Cross multiply
   9,022.86x = 13,535.91 × 2,782.62
4. Step 4: Simplify right side
   9,022.86x = 37,665,293.88
5. Step 5: Solve for x
   x = 37,665,293.88/9,022.86
6. Step 6: Final answer
   x = 4,174.43