Finding the Fourth Proportional to 9,782.34, 14,633.37 and 8,141.10

Step by Step Solution

1. Step 1: Write the proportion equation
   9,782.34 : 14,633.37 = 8,141.10 : x
2. Step 2: Convert to fraction form
   9,782.34/14,633.37 = 8,141.10/x
3. Step 3: Cross multiply
   9,782.34x = 14,633.37 × 8,141.10
4. Step 4: Simplify right side
   9,782.34x = 119,131,728.51
5. Step 5: Solve for x
   x = 119,131,728.51/9,782.34
6. Step 6: Final answer
   x = 12,178.24