Finding the Fourth Proportional to 5,635.80, 7,772.69 and 4,222.82

Step by Step Solution

1. Step 1: Write the proportion equation
   5,635.80 : 7,772.69 = 4,222.82 : x
2. Step 2: Convert to fraction form
   5,635.80/7,772.69 = 4,222.82/x
3. Step 3: Cross multiply
   5,635.80x = 7,772.69 × 4,222.82
4. Step 4: Simplify right side
   5,635.80x = 32,822,700.77
5. Step 5: Solve for x
   x = 32,822,700.77/5,635.80
6. Step 6: Final answer
   x = 5,823.96