Finding the Fourth Proportional to 9,752.52, 14,632.67 and 3,178.77

Step by Step Solution

1. Step 1: Write the proportion equation
   9,752.52 : 14,632.67 = 3,178.77 : x
2. Step 2: Convert to fraction form
   9,752.52/14,632.67 = 3,178.77/x
3. Step 3: Cross multiply
   9,752.52x = 14,632.67 × 3,178.77
4. Step 4: Simplify right side
   9,752.52x = 46,513,892.42
5. Step 5: Solve for x
   x = 46,513,892.42/9,752.52
6. Step 6: Final answer
   x = 4,769.42