Finding the Fourth Proportional to 2,591.60, 3,577.59 and 1,742.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,591.60 : 3,577.59 = 1,742.31 : x
2. Step 2: Convert to fraction form
   2,591.60/3,577.59 = 1,742.31/x
3. Step 3: Cross multiply
   2,591.60x = 3,577.59 × 1,742.31
4. Step 4: Simplify right side
   2,591.60x = 6,233,270.83
5. Step 5: Solve for x
   x = 6,233,270.83/2,591.60
6. Step 6: Final answer
   x = 2,405.19