Finding the Fourth Proportional to 10,446.66, 14,415.84 and 5,969.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,446.66 : 14,415.84 = 5,969.82 : x
2. Step 2: Convert to fraction form
   10,446.66/14,415.84 = 5,969.82/x
3. Step 3: Cross multiply
   10,446.66x = 14,415.84 × 5,969.82
4. Step 4: Simplify right side
   10,446.66x = 86,059,969.95
5. Step 5: Solve for x
   x = 86,059,969.95/10,446.66
6. Step 6: Final answer
   x = 8,238.04