Finding the Fourth Proportional to 10,769.24, 14,854.82 and 7,406.22

Step by Step Solution

1. Step 1: Write the proportion equation
   10,769.24 : 14,854.82 = 7,406.22 : x
2. Step 2: Convert to fraction form
   10,769.24/14,854.82 = 7,406.22/x
3. Step 3: Cross multiply
   10,769.24x = 14,854.82 × 7,406.22
4. Step 4: Simplify right side
   10,769.24x = 110,018,027.95
5. Step 5: Solve for x
   x = 110,018,027.95/10,769.24
6. Step 6: Final answer
   x = 10,215.96