Finding the Fourth Proportional to 5,290.82, 7,875.77 and 5,211.98

Step by Step Solution

1. Step 1: Write the proportion equation
   5,290.82 : 7,875.77 = 5,211.98 : x
2. Step 2: Convert to fraction form
   5,290.82/7,875.77 = 5,211.98/x
3. Step 3: Cross multiply
   5,290.82x = 7,875.77 × 5,211.98
4. Step 4: Simplify right side
   5,290.82x = 41,048,319.82
5. Step 5: Solve for x
   x = 41,048,319.82/5,290.82
6. Step 6: Final answer
   x = 7,758.41