Finding the Fourth Proportional to 5,291.82, 7,877.25 and 5,212.98

Step by Step Solution

1. Step 1: Write the proportion equation
   5,291.82 : 7,877.25 = 5,212.98 : x
2. Step 2: Convert to fraction form
   5,291.82/7,877.25 = 5,212.98/x
3. Step 3: Cross multiply
   5,291.82x = 7,877.25 × 5,212.98
4. Step 4: Simplify right side
   5,291.82x = 41,063,946.71
5. Step 5: Solve for x
   x = 41,063,946.71/5,291.82
6. Step 6: Final answer
   x = 7,759.89