Finding the Fourth Proportional to 1,585.90, 2,375.52 and 1,005.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,585.90 : 2,375.52 = 1,005.94 : x
2. Step 2: Convert to fraction form
   1,585.90/2,375.52 = 1,005.94/x
3. Step 3: Cross multiply
   1,585.90x = 2,375.52 × 1,005.94
4. Step 4: Simplify right side
   1,585.90x = 2,389,630.59
5. Step 5: Solve for x
   x = 2,389,630.59/1,585.90
6. Step 6: Final answer
   x = 1,506.80