Finding the Fourth Proportional to 2,090.40, 2,884.56 and 1,158.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,090.40 : 2,884.56 = 1,158.72 : x
2. Step 2: Convert to fraction form
   2,090.40/2,884.56 = 1,158.72/x
3. Step 3: Cross multiply
   2,090.40x = 2,884.56 × 1,158.72
4. Step 4: Simplify right side
   2,090.40x = 3,342,397.36
5. Step 5: Solve for x
   x = 3,342,397.36/2,090.40
6. Step 6: Final answer
   x = 1,598.93