Finding the Fourth Proportional to 1,892.14, 2,832.96 and 1,428.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,892.14 : 2,832.96 = 1,428.52 : x
2. Step 2: Convert to fraction form
   1,892.14/2,832.96 = 1,428.52/x
3. Step 3: Cross multiply
   1,892.14x = 2,832.96 × 1,428.52
4. Step 4: Simplify right side
   1,892.14x = 4,046,940.02
5. Step 5: Solve for x
   x = 4,046,940.02/1,892.14
6. Step 6: Final answer
   x = 2,138.82