Finding the Fourth Proportional to 5,180.14, 7,768.59 and 1,892.49

Step by Step Solution

1. Step 1: Write the proportion equation
   5,180.14 : 7,768.59 = 1,892.49 : x
2. Step 2: Convert to fraction form
   5,180.14/7,768.59 = 1,892.49/x
3. Step 3: Cross multiply
   5,180.14x = 7,768.59 × 1,892.49
4. Step 4: Simplify right side
   5,180.14x = 14,701,978.89
5. Step 5: Solve for x
   x = 14,701,978.89/5,180.14
6. Step 6: Final answer
   x = 2,838.14