Finding the Fourth Proportional to 14,158.47, 19,538.92 and 7,785.33

Step by Step Solution

1. Step 1: Write the proportion equation
   14,158.47 : 19,538.92 = 7,785.33 : x
2. Step 2: Convert to fraction form
   14,158.47/19,538.92 = 7,785.33/x
3. Step 3: Cross multiply
   14,158.47x = 19,538.92 × 7,785.33
4. Step 4: Simplify right side
   14,158.47x = 152,116,940.04
5. Step 5: Solve for x
   x = 152,116,940.04/14,158.47
6. Step 6: Final answer
   x = 10,743.88