Finding the Fourth Proportional to 19,978.14, 29,949.93 and 7,657.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,978.14 : 29,949.93 = 7,657.50 : x
2. Step 2: Convert to fraction form
   19,978.14/29,949.93 = 7,657.50/x
3. Step 3: Cross multiply
   19,978.14x = 29,949.93 × 7,657.50
4. Step 4: Simplify right side
   19,978.14x = 229,341,588.98
5. Step 5: Solve for x
   x = 229,341,588.98/19,978.14
6. Step 6: Final answer
   x = 11,479.63