Finding the Fourth Proportional to 5,783.10, 7,978.55 and 3,794.76

Step by Step Solution

1. Step 1: Write the proportion equation
   5,783.10 : 7,978.55 = 3,794.76 : x
2. Step 2: Convert to fraction form
   5,783.10/7,978.55 = 3,794.76/x
3. Step 3: Cross multiply
   5,783.10x = 7,978.55 × 3,794.76
4. Step 4: Simplify right side
   5,783.10x = 30,276,663.42
5. Step 5: Solve for x
   x = 30,276,663.42/5,783.10
6. Step 6: Final answer
   x = 5,235.37