Finding the Fourth Proportional to 5,978.06, 8,965.47 and 2,514.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,978.06 : 8,965.47 = 2,514.50 : x
2. Step 2: Convert to fraction form
   5,978.06/8,965.47 = 2,514.50/x
3. Step 3: Cross multiply
   5,978.06x = 8,965.47 × 2,514.50
4. Step 4: Simplify right side
   5,978.06x = 22,543,674.32
5. Step 5: Solve for x
   x = 22,543,674.32/5,978.06
6. Step 6: Final answer
   x = 3,771.07