Finding the Fourth Proportional to 1,985.84, 2,740.53 and 1,146.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,985.84 : 2,740.53 = 1,146.83 : x
2. Step 2: Convert to fraction form
   1,985.84/2,740.53 = 1,146.83/x
3. Step 3: Cross multiply
   1,985.84x = 2,740.53 × 1,146.83
4. Step 4: Simplify right side
   1,985.84x = 3,142,922.02
5. Step 5: Solve for x
   x = 3,142,922.02/1,985.84
6. Step 6: Final answer
   x = 1,582.67