Finding the Fourth Proportional to 5,200.83, 7,757.39 and 5,045.22

Step by Step Solution

1. Step 1: Write the proportion equation
   5,200.83 : 7,757.39 = 5,045.22 : x
2. Step 2: Convert to fraction form
   5,200.83/7,757.39 = 5,045.22/x
3. Step 3: Cross multiply
   5,200.83x = 7,757.39 × 5,045.22
4. Step 4: Simplify right side
   5,200.83x = 39,137,713.95
5. Step 5: Solve for x
   x = 39,137,713.95/5,200.83
6. Step 6: Final answer
   x = 7,525.28