Finding the Fourth Proportional to 9,752.31, 14,628.51 and 3,178.49

Step by Step Solution

1. Step 1: Write the proportion equation
   9,752.31 : 14,628.51 = 3,178.49 : x
2. Step 2: Convert to fraction form
   9,752.31/14,628.51 = 3,178.49/x
3. Step 3: Cross multiply
   9,752.31x = 14,628.51 × 3,178.49
4. Step 4: Simplify right side
   9,752.31x = 46,496,499.61
5. Step 5: Solve for x
   x = 46,496,499.61/9,752.31
6. Step 6: Final answer
   x = 4,767.74