Finding the Fourth Proportional to 2,030.85, 2,802.69 and 1,146.96

Step by Step Solution

1. Step 1: Write the proportion equation
   2,030.85 : 2,802.69 = 1,146.96 : x
2. Step 2: Convert to fraction form
   2,030.85/2,802.69 = 1,146.96/x
3. Step 3: Cross multiply
   2,030.85x = 2,802.69 × 1,146.96
4. Step 4: Simplify right side
   2,030.85x = 3,214,573.32
5. Step 5: Solve for x
   x = 3,214,573.32/2,030.85
6. Step 6: Final answer
   x = 1,582.87