Finding the Fourth Proportional to 2,128.56, 3,196.20 and 2,046

Step by Step Solution

1. Step 1: Write the proportion equation
   2,128.56 : 3,196.20 = 2,046 : x
2. Step 2: Convert to fraction form
   2,128.56/3,196.20 = 2,046/x
3. Step 3: Cross multiply
   2,128.56x = 3,196.20 × 2,046
4. Step 4: Simplify right side
   2,128.56x = 6,539,425.20
5. Step 5: Solve for x
   x = 6,539,425.20/2,128.56
6. Step 6: Final answer
   x = 3,072.23