Finding the Fourth Proportional to 5,256.42, 7,841.57 and 5,113.42

Step by Step Solution

1. Step 1: Write the proportion equation
   5,256.42 : 7,841.57 = 5,113.42 : x
2. Step 2: Convert to fraction form
   5,256.42/7,841.57 = 5,113.42/x
3. Step 3: Cross multiply
   5,256.42x = 7,841.57 × 5,113.42
4. Step 4: Simplify right side
   5,256.42x = 40,097,240.87
5. Step 5: Solve for x
   x = 40,097,240.87/5,256.42
6. Step 6: Final answer
   x = 7,628.24