Finding the Fourth Proportional to 1,676.96, 2,314.32 and 1,152.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,676.96 : 2,314.32 = 1,152.80 : x
2. Step 2: Convert to fraction form
   1,676.96/2,314.32 = 1,152.80/x
3. Step 3: Cross multiply
   1,676.96x = 2,314.32 × 1,152.80
4. Step 4: Simplify right side
   1,676.96x = 2,667,948.10
5. Step 5: Solve for x
   x = 2,667,948.10/1,676.96
6. Step 6: Final answer
   x = 1,590.94