Finding the Fourth Proportional to 2,023.64, 3,031.80 and 1,156.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,023.64 : 3,031.80 = 1,156.16 : x
2. Step 2: Convert to fraction form
   2,023.64/3,031.80 = 1,156.16/x
3. Step 3: Cross multiply
   2,023.64x = 3,031.80 × 1,156.16
4. Step 4: Simplify right side
   2,023.64x = 3,505,245.89
5. Step 5: Solve for x
   x = 3,505,245.89/2,023.64
6. Step 6: Final answer
   x = 1,732.15