Finding the Fourth Proportional to 1,892.18, 2,610.80 and 1,146.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,892.18 : 2,610.80 = 1,146.14 : x
2. Step 2: Convert to fraction form
   1,892.18/2,610.80 = 1,146.14/x
3. Step 3: Cross multiply
   1,892.18x = 2,610.80 × 1,146.14
4. Step 4: Simplify right side
   1,892.18x = 2,992,342.31
5. Step 5: Solve for x
   x = 2,992,342.31/1,892.18
6. Step 6: Final answer
   x = 1,581.43