Finding the Fourth Proportional to 9,664.74, 14,502.59 and 4,117.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,664.74 : 14,502.59 = 4,117.50 : x
2. Step 2: Convert to fraction form
   9,664.74/14,502.59 = 4,117.50/x
3. Step 3: Cross multiply
   9,664.74x = 14,502.59 × 4,117.50
4. Step 4: Simplify right side
   9,664.74x = 59,714,414.33
5. Step 5: Solve for x
   x = 59,714,414.33/9,664.74
6. Step 6: Final answer
   x = 6,178.58