Finding the Fourth Proportional to 1,892.67, 2,611.46 and 1,146.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,892.67 : 2,611.46 = 1,146.61 : x
2. Step 2: Convert to fraction form
   1,892.67/2,611.46 = 1,146.61/x
3. Step 3: Cross multiply
   1,892.67x = 2,611.46 × 1,146.61
4. Step 4: Simplify right side
   1,892.67x = 2,994,326.15
5. Step 5: Solve for x
   x = 2,994,326.15/1,892.67
6. Step 6: Final answer
   x = 1,582.06