Finding the Fourth Proportional to 4,165.83, 5,749.56 and 3,978.99

Step by Step Solution

1. Step 1: Write the proportion equation
   4,165.83 : 5,749.56 = 3,978.99 : x
2. Step 2: Convert to fraction form
   4,165.83/5,749.56 = 3,978.99/x
3. Step 3: Cross multiply
   4,165.83x = 5,749.56 × 3,978.99
4. Step 4: Simplify right side
   4,165.83x = 22,877,441.74
5. Step 5: Solve for x
   x = 22,877,441.74/4,165.83
6. Step 6: Final answer
   x = 5,491.69