Finding the Fourth Proportional to 4,109.30, 5,678.64 and 3,112.80

Step by Step Solution

1. Step 1: Write the proportion equation
   4,109.30 : 5,678.64 = 3,112.80 : x
2. Step 2: Convert to fraction form
   4,109.30/5,678.64 = 3,112.80/x
3. Step 3: Cross multiply
   4,109.30x = 5,678.64 × 3,112.80
4. Step 4: Simplify right side
   4,109.30x = 17,676,470.59
5. Step 5: Solve for x
   x = 17,676,470.59/4,109.30
6. Step 6: Final answer
   x = 4,301.58