Finding the Fourth Proportional to 2,047.64, 2,825.76 and 1,116.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,047.64 : 2,825.76 = 1,116.16 : x
2. Step 2: Convert to fraction form
   2,047.64/2,825.76 = 1,116.16/x
3. Step 3: Cross multiply
   2,047.64x = 2,825.76 × 1,116.16
4. Step 4: Simplify right side
   2,047.64x = 3,154,000.28
5. Step 5: Solve for x
   x = 3,154,000.28/2,047.64
6. Step 6: Final answer
   x = 1,540.31