Finding the Fourth Proportional to 3,426.77, 5,138.54 and 1,577.34

Step by Step Solution

1. Step 1: Write the proportion equation
   3,426.77 : 5,138.54 = 1,577.34 : x
2. Step 2: Convert to fraction form
   3,426.77/5,138.54 = 1,577.34/x
3. Step 3: Cross multiply
   3,426.77x = 5,138.54 × 1,577.34
4. Step 4: Simplify right side
   3,426.77x = 8,105,222.71
5. Step 5: Solve for x
   x = 8,105,222.71/3,426.77
6. Step 6: Final answer
   x = 2,365.26