Finding the Fourth Proportional to 5,211.77, 7,798.05 and 3,654.82

Step by Step Solution

1. Step 1: Write the proportion equation
   5,211.77 : 7,798.05 = 3,654.82 : x
2. Step 2: Convert to fraction form
   5,211.77/7,798.05 = 3,654.82/x
3. Step 3: Cross multiply
   5,211.77x = 7,798.05 × 3,654.82
4. Step 4: Simplify right side
   5,211.77x = 28,500,467.20
5. Step 5: Solve for x
   x = 28,500,467.20/5,211.77
6. Step 6: Final answer
   x = 5,468.48