Finding the Fourth Proportional to 2,309.75, 3,186.50 and 1,678.89

Step by Step Solution

1. Step 1: Write the proportion equation
   2,309.75 : 3,186.50 = 1,678.89 : x
2. Step 2: Convert to fraction form
   2,309.75/3,186.50 = 1,678.89/x
3. Step 3: Cross multiply
   2,309.75x = 3,186.50 × 1,678.89
4. Step 4: Simplify right side
   2,309.75x = 5,349,780.89
5. Step 5: Solve for x
   x = 5,349,780.89/2,309.75
6. Step 6: Final answer
   x = 2,316.18