Finding the Fourth Proportional to 5,185.86, 7,777.86 and 2,552.70

Step by Step Solution

1. Step 1: Write the proportion equation
   5,185.86 : 7,777.86 = 2,552.70 : x
2. Step 2: Convert to fraction form
   5,185.86/7,777.86 = 2,552.70/x
3. Step 3: Cross multiply
   5,185.86x = 7,777.86 × 2,552.70
4. Step 4: Simplify right side
   5,185.86x = 19,854,543.22
5. Step 5: Solve for x
   x = 19,854,543.22/5,185.86
6. Step 6: Final answer
   x = 3,828.59