Finding the Fourth Proportional to 1,585.30, 2,375.16 and 967.54

Step by Step Solution

1. Step 1: Write the proportion equation
   1,585.30 : 2,375.16 = 967.54 : x
2. Step 2: Convert to fraction form
   1,585.30/2,375.16 = 967.54/x
3. Step 3: Cross multiply
   1,585.30x = 2,375.16 × 967.54
4. Step 4: Simplify right side
   1,585.30x = 2,298,062.31
5. Step 5: Solve for x
   x = 2,298,062.31/1,585.30
6. Step 6: Final answer
   x = 1,449.61