Finding the Fourth Proportional to 2,091.22, 2,885.76 and 1,146.83

Step by Step Solution

1. Step 1: Write the proportion equation
   2,091.22 : 2,885.76 = 1,146.83 : x
2. Step 2: Convert to fraction form
   2,091.22/2,885.76 = 1,146.83/x
3. Step 3: Cross multiply
   2,091.22x = 2,885.76 × 1,146.83
4. Step 4: Simplify right side
   2,091.22x = 3,309,461.71
5. Step 5: Solve for x
   x = 3,309,461.71/2,091.22
6. Step 6: Final answer
   x = 1,582.55