Finding the Fourth Proportional to 3,429.82, 5,140.59 and 1,578.34

Step by Step Solution

1. Step 1: Write the proportion equation
   3,429.82 : 5,140.59 = 1,578.34 : x
2. Step 2: Convert to fraction form
   3,429.82/5,140.59 = 1,578.34/x
3. Step 3: Cross multiply
   3,429.82x = 5,140.59 × 1,578.34
4. Step 4: Simplify right side
   3,429.82x = 8,113,598.82
5. Step 5: Solve for x
   x = 8,113,598.82/3,429.82
6. Step 6: Final answer
   x = 2,365.60