Finding the Fourth Proportional to 5,188.52, 7,784.28 and 2,556.82

Step by Step Solution

1. Step 1: Write the proportion equation
   5,188.52 : 7,784.28 = 2,556.82 : x
2. Step 2: Convert to fraction form
   5,188.52/7,784.28 = 2,556.82/x
3. Step 3: Cross multiply
   5,188.52x = 7,784.28 × 2,556.82
4. Step 4: Simplify right side
   5,188.52x = 19,902,961.54
5. Step 5: Solve for x
   x = 19,902,961.54/5,188.52
6. Step 6: Final answer
   x = 3,835.96