Finding the Fourth Proportional to 2,042.02, 2,817.54 and 1,157.62

Step by Step Solution

1. Step 1: Write the proportion equation
   2,042.02 : 2,817.54 = 1,157.62 : x
2. Step 2: Convert to fraction form
   2,042.02/2,817.54 = 1,157.62/x
3. Step 3: Cross multiply
   2,042.02x = 2,817.54 × 1,157.62
4. Step 4: Simplify right side
   2,042.02x = 3,261,640.65
5. Step 5: Solve for x
   x = 3,261,640.65/2,042.02
6. Step 6: Final answer
   x = 1,597.26