Finding the Fourth Proportional to 5,783.74, 7,978.48 and 3,892.10

Step by Step Solution

1. Step 1: Write the proportion equation
   5,783.74 : 7,978.48 = 3,892.10 : x
2. Step 2: Convert to fraction form
   5,783.74/7,978.48 = 3,892.10/x
3. Step 3: Cross multiply
   5,783.74x = 7,978.48 × 3,892.10
4. Step 4: Simplify right side
   5,783.74x = 31,053,042.01
5. Step 5: Solve for x
   x = 31,053,042.01/5,783.74
6. Step 6: Final answer
   x = 5,369.02