Finding the Fourth Proportional to 9,216.67, 13,826.82 and 2,978.26

Step by Step Solution

1. Step 1: Write the proportion equation
   9,216.67 : 13,826.82 = 2,978.26 : x
2. Step 2: Convert to fraction form
   9,216.67/13,826.82 = 2,978.26/x
3. Step 3: Cross multiply
   9,216.67x = 13,826.82 × 2,978.26
4. Step 4: Simplify right side
   9,216.67x = 41,179,864.93
5. Step 5: Solve for x
   x = 41,179,864.93/9,216.67
6. Step 6: Final answer
   x = 4,467.98