Finding the Fourth Proportional to 9,752.39, 14,628.98 and 3,178.63

Step by Step Solution

1. Step 1: Write the proportion equation
   9,752.39 : 14,628.98 = 3,178.63 : x
2. Step 2: Convert to fraction form
   9,752.39/14,628.98 = 3,178.63/x
3. Step 3: Cross multiply
   9,752.39x = 14,628.98 × 3,178.63
4. Step 4: Simplify right side
   9,752.39x = 46,500,086.07
5. Step 5: Solve for x
   x = 46,500,086.07/9,752.39
6. Step 6: Final answer
   x = 4,768.07