Finding the Fourth Proportional to 1,985.96, 2,740.82 and 1,146.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,985.96 : 2,740.82 = 1,146.69 : x
2. Step 2: Convert to fraction form
   1,985.96/2,740.82 = 1,146.69/x
3. Step 3: Cross multiply
   1,985.96x = 2,740.82 × 1,146.69
4. Step 4: Simplify right side
   1,985.96x = 3,142,865.15
5. Step 5: Solve for x
   x = 3,142,865.15/1,985.96
6. Step 6: Final answer
   x = 1,582.55