Finding the Fourth Proportional to 9,764.63, 14,649.79 and 3,524.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,764.63 : 14,649.79 = 3,524.50 : x
2. Step 2: Convert to fraction form
   9,764.63/14,649.79 = 3,524.50/x
3. Step 3: Cross multiply
   9,764.63x = 14,649.79 × 3,524.50
4. Step 4: Simplify right side
   9,764.63x = 51,633,184.86
5. Step 5: Solve for x
   x = 51,633,184.86/9,764.63
6. Step 6: Final answer
   x = 5,287.78