Finding the Fourth Proportional to 14,155, 19,533.96 and 7,782

Step by Step Solution

1. Step 1: Write the proportion equation
   14,155 : 19,533.96 = 7,782 : x
2. Step 2: Convert to fraction form
   14,155/19,533.96 = 7,782/x
3. Step 3: Cross multiply
   14,155x = 19,533.96 × 7,782
4. Step 4: Simplify right side
   14,155x = 152,013,276.72
5. Step 5: Solve for x
   x = 152,013,276.72/14,155
6. Step 6: Final answer
   x = 10,739.19