Finding the Fourth Proportional to 7,837.10, 10,815.41 and 4,300.54

Step by Step Solution

1. Step 1: Write the proportion equation
   7,837.10 : 10,815.41 = 4,300.54 : x
2. Step 2: Convert to fraction form
   7,837.10/10,815.41 = 4,300.54/x
3. Step 3: Cross multiply
   7,837.10x = 10,815.41 × 4,300.54
4. Step 4: Simplify right side
   7,837.10x = 46,512,087.03
5. Step 5: Solve for x
   x = 46,512,087.03/7,837.10
6. Step 6: Final answer
   x = 5,934.86