Finding the Fourth Proportional to 5,674.17, 7,829.82 and 5,256.21

Step by Step Solution

1. Step 1: Write the proportion equation
   5,674.17 : 7,829.82 = 5,256.21 : x
2. Step 2: Convert to fraction form
   5,674.17/7,829.82 = 5,256.21/x
3. Step 3: Cross multiply
   5,674.17x = 7,829.82 × 5,256.21
4. Step 4: Simplify right side
   5,674.17x = 41,155,178.18
5. Step 5: Solve for x
   x = 41,155,178.18/5,674.17
6. Step 6: Final answer
   x = 7,253.07