Finding the Fourth Proportional to 14,155.47, 19,534.78 and 7,782.33

Step by Step Solution

1. Step 1: Write the proportion equation
   14,155.47 : 19,534.78 = 7,782.33 : x
2. Step 2: Convert to fraction form
   14,155.47/19,534.78 = 7,782.33/x
3. Step 3: Cross multiply
   14,155.47x = 19,534.78 × 7,782.33
4. Step 4: Simplify right side
   14,155.47x = 152,026,088.48
5. Step 5: Solve for x
   x = 152,026,088.48/14,155.47
6. Step 6: Final answer
   x = 10,739.74