Finding the Fourth Proportional to 5,689.36, 7,843.68 and 5,106.16

Step by Step Solution

1. Step 1: Write the proportion equation
   5,689.36 : 7,843.68 = 5,106.16 : x
2. Step 2: Convert to fraction form
   5,689.36/7,843.68 = 5,106.16/x
3. Step 3: Cross multiply
   5,689.36x = 7,843.68 × 5,106.16
4. Step 4: Simplify right side
   5,689.36x = 40,051,085.07
5. Step 5: Solve for x
   x = 40,051,085.07/5,689.36
6. Step 6: Final answer
   x = 7,039.65