Finding the Fourth Proportional to 9,752.56, 14,627.31 and 3,178.69

Step by Step Solution

1. Step 1: Write the proportion equation
   9,752.56 : 14,627.31 = 3,178.69 : x
2. Step 2: Convert to fraction form
   9,752.56/14,627.31 = 3,178.69/x
3. Step 3: Cross multiply
   9,752.56x = 14,627.31 × 3,178.69
4. Step 4: Simplify right side
   9,752.56x = 46,495,684.02
5. Step 5: Solve for x
   x = 46,495,684.02/9,752.56
6. Step 6: Final answer
   x = 4,767.54