Finding the Fourth Proportional to 16,513.84, 24,774.81 and 7,738.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,513.84 : 24,774.81 = 7,738.50 : x
2. Step 2: Convert to fraction form
   16,513.84/24,774.81 = 7,738.50/x
3. Step 3: Cross multiply
   16,513.84x = 24,774.81 × 7,738.50
4. Step 4: Simplify right side
   16,513.84x = 191,719,867.19
5. Step 5: Solve for x
   x = 191,719,867.19/16,513.84
6. Step 6: Final answer
   x = 11,609.65