Finding the Fourth Proportional to 9,756.64, 14,633.47 and 3,182.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,756.64 : 14,633.47 = 3,182.82 : x
2. Step 2: Convert to fraction form
   9,756.64/14,633.47 = 3,182.82/x
3. Step 3: Cross multiply
   9,756.64x = 14,633.47 × 3,182.82
4. Step 4: Simplify right side
   9,756.64x = 46,575,627.82
5. Step 5: Solve for x
   x = 46,575,627.82/9,756.64
6. Step 6: Final answer
   x = 4,773.74