Finding the Fourth Proportional to 2,048.30, 2,826.60 and 1,164.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,048.30 : 2,826.60 = 1,164.14 : x
2. Step 2: Convert to fraction form
   2,048.30/2,826.60 = 1,164.14/x
3. Step 3: Cross multiply
   2,048.30x = 2,826.60 × 1,164.14
4. Step 4: Simplify right side
   2,048.30x = 3,290,558.12
5. Step 5: Solve for x
   x = 3,290,558.12/2,048.30
6. Step 6: Final answer
   x = 1,606.48