Finding the Fourth Proportional to 21,770.13, 32,659.25 and 7,738.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,770.13 : 32,659.25 = 7,738.50 : x
2. Step 2: Convert to fraction form
   21,770.13/32,659.25 = 7,738.50/x
3. Step 3: Cross multiply
   21,770.13x = 32,659.25 × 7,738.50
4. Step 4: Simplify right side
   21,770.13x = 252,733,567.43
5. Step 5: Solve for x
   x = 252,733,567.43/21,770.13
6. Step 6: Final answer
   x = 11,609.19