Finding the Fourth Proportional to 7,837.62, 10,820.97 and 5,738.10

Step by Step Solution

1. Step 1: Write the proportion equation
   7,837.62 : 10,820.97 = 5,738.10 : x
2. Step 2: Convert to fraction form
   7,837.62/10,820.97 = 5,738.10/x
3. Step 3: Cross multiply
   7,837.62x = 10,820.97 × 5,738.10
4. Step 4: Simplify right side
   7,837.62x = 62,091,807.96
5. Step 5: Solve for x
   x = 62,091,807.96/7,837.62
6. Step 6: Final answer
   x = 7,922.28