Finding the Fourth Proportional to 1,604.64, 2,404.80 and 874.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,604.64 : 2,404.80 = 874.56 : x
2. Step 2: Convert to fraction form
   1,604.64/2,404.80 = 874.56/x
3. Step 3: Cross multiply
   1,604.64x = 2,404.80 × 874.56
4. Step 4: Simplify right side
   1,604.64x = 2,103,141.89
5. Step 5: Solve for x
   x = 2,103,141.89/1,604.64
6. Step 6: Final answer
   x = 1,310.66