Finding the Fourth Proportional to 5,721.76, 7,846.76 and 5,422.24

Step by Step Solution

1. Step 1: Write the proportion equation
   5,721.76 : 7,846.76 = 5,422.24 : x
2. Step 2: Convert to fraction form
   5,721.76/7,846.76 = 5,422.24/x
3. Step 3: Cross multiply
   5,721.76x = 7,846.76 × 5,422.24
4. Step 4: Simplify right side
   5,721.76x = 42,547,015.94
5. Step 5: Solve for x
   x = 42,547,015.94/5,721.76
6. Step 6: Final answer
   x = 7,436.00