Finding the Fourth Proportional to 2,041.56, 2,816.82 and 1,157.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,041.56 : 2,816.82 = 1,157.16 : x
2. Step 2: Convert to fraction form
   2,041.56/2,816.82 = 1,157.16/x
3. Step 3: Cross multiply
   2,041.56x = 2,816.82 × 1,157.16
4. Step 4: Simplify right side
   2,041.56x = 3,259,511.43
5. Step 5: Solve for x
   x = 3,259,511.43/2,041.56
6. Step 6: Final answer
   x = 1,596.58