Finding the Fourth Proportional to 2,102.69, 3,155.34 and 1,427.96

Step by Step Solution

1. Step 1: Write the proportion equation
   2,102.69 : 3,155.34 = 1,427.96 : x
2. Step 2: Convert to fraction form
   2,102.69/3,155.34 = 1,427.96/x
3. Step 3: Cross multiply
   2,102.69x = 3,155.34 × 1,427.96
4. Step 4: Simplify right side
   2,102.69x = 4,505,699.31
5. Step 5: Solve for x
   x = 4,505,699.31/2,102.69
6. Step 6: Final answer
   x = 2,142.83