Finding the Fourth Proportional to 2,031.06, 2,802.80 and 1,146.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,031.06 : 2,802.80 = 1,146.86 : x
2. Step 2: Convert to fraction form
   2,031.06/2,802.80 = 1,146.86/x
3. Step 3: Cross multiply
   2,031.06x = 2,802.80 × 1,146.86
4. Step 4: Simplify right side
   2,031.06x = 3,214,399.46
5. Step 5: Solve for x
   x = 3,214,399.46/2,031.06
6. Step 6: Final answer
   x = 1,582.62