Finding the Fourth Proportional to 14,159.83, 19,538.86 and 7,785.37

Step by Step Solution

1. Step 1: Write the proportion equation
   14,159.83 : 19,538.86 = 7,785.37 : x
2. Step 2: Convert to fraction form
   14,159.83/19,538.86 = 7,785.37/x
3. Step 3: Cross multiply
   14,159.83x = 19,538.86 × 7,785.37
4. Step 4: Simplify right side
   14,159.83x = 152,117,254.48
5. Step 5: Solve for x
   x = 152,117,254.48/14,159.83
6. Step 6: Final answer
   x = 10,742.87