Finding the Fourth Proportional to 2,048.71, 2,827.41 and 1,164.34

Step by Step Solution

1. Step 1: Write the proportion equation
   2,048.71 : 2,827.41 = 1,164.34 : x
2. Step 2: Convert to fraction form
   2,048.71/2,827.41 = 1,164.34/x
3. Step 3: Cross multiply
   2,048.71x = 2,827.41 × 1,164.34
4. Step 4: Simplify right side
   2,048.71x = 3,292,066.56
5. Step 5: Solve for x
   x = 3,292,066.56/2,048.71
6. Step 6: Final answer
   x = 1,606.90