Finding the Fourth Proportional to 6,514.56, 9,759.56 and 3,876.53

Step by Step Solution

1. Step 1: Write the proportion equation
   6,514.56 : 9,759.56 = 3,876.53 : x
2. Step 2: Convert to fraction form
   6,514.56/9,759.56 = 3,876.53/x
3. Step 3: Cross multiply
   6,514.56x = 9,759.56 × 3,876.53
4. Step 4: Simplify right side
   6,514.56x = 37,833,158.95
5. Step 5: Solve for x
   x = 37,833,158.95/6,514.56
6. Step 6: Final answer
   x = 5,807.48