Finding the Fourth Proportional to 9,405.17, 14,109.24 and 3,782.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,405.17 : 14,109.24 = 3,782.82 : x
2. Step 2: Convert to fraction form
   9,405.17/14,109.24 = 3,782.82/x
3. Step 3: Cross multiply
   9,405.17x = 14,109.24 × 3,782.82
4. Step 4: Simplify right side
   9,405.17x = 53,372,715.26
5. Step 5: Solve for x
   x = 53,372,715.26/9,405.17
6. Step 6: Final answer
   x = 5,674.83