Finding the Fourth Proportional to 4,159.74, 5,734.33 and 2,978.76

Step by Step Solution

1. Step 1: Write the proportion equation
   4,159.74 : 5,734.33 = 2,978.76 : x
2. Step 2: Convert to fraction form
   4,159.74/5,734.33 = 2,978.76/x
3. Step 3: Cross multiply
   4,159.74x = 5,734.33 × 2,978.76
4. Step 4: Simplify right side
   4,159.74x = 17,081,192.83
5. Step 5: Solve for x
   x = 17,081,192.83/4,159.74
6. Step 6: Final answer
   x = 4,106.31