Finding the Fourth Proportional to 32,782.39, 49,180.89 and 9,407

Step by Step Solution

1. Step 1: Write the proportion equation
   32,782.39 : 49,180.89 = 9,407 : x
2. Step 2: Convert to fraction form
   32,782.39/49,180.89 = 9,407/x
3. Step 3: Cross multiply
   32,782.39x = 49,180.89 × 9,407
4. Step 4: Simplify right side
   32,782.39x = 462,644,632.23
5. Step 5: Solve for x
   x = 462,644,632.23/32,782.39
6. Step 6: Final answer
   x = 14,112.60