Finding the Fourth Proportional to 5,185.59, 7,780.71 and 2,814.39

Step by Step Solution

1. Step 1: Write the proportion equation
   5,185.59 : 7,780.71 = 2,814.39 : x
2. Step 2: Convert to fraction form
   5,185.59/7,780.71 = 2,814.39/x
3. Step 3: Cross multiply
   5,185.59x = 7,780.71 × 2,814.39
4. Step 4: Simplify right side
   5,185.59x = 21,897,952.42
5. Step 5: Solve for x
   x = 21,897,952.42/5,185.59
6. Step 6: Final answer
   x = 4,222.85