Finding the Fourth Proportional to 9,757.86, 14,638.32 and 3,182.53

Step by Step Solution

1. Step 1: Write the proportion equation
   9,757.86 : 14,638.32 = 3,182.53 : x
2. Step 2: Convert to fraction form
   9,757.86/14,638.32 = 3,182.53/x
3. Step 3: Cross multiply
   9,757.86x = 14,638.32 × 3,182.53
4. Step 4: Simplify right side
   9,757.86x = 46,586,892.55
5. Step 5: Solve for x
   x = 46,586,892.55/9,757.86
6. Step 6: Final answer
   x = 4,774.29