Finding the Fourth Proportional to 2,041.62, 2,817.50 and 1,157.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,041.62 : 2,817.50 = 1,157.40 : x
2. Step 2: Convert to fraction form
   2,041.62/2,817.50 = 1,157.40/x
3. Step 3: Cross multiply
   2,041.62x = 2,817.50 × 1,157.40
4. Step 4: Simplify right side
   2,041.62x = 3,260,968.71
5. Step 5: Solve for x
   x = 3,260,968.71/2,041.62
6. Step 6: Final answer
   x = 1,597.25