Finding the Fourth Proportional to 1,585.47, 2,189.52 and 1,306.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,585.47 : 2,189.52 = 1,306.63 : x
2. Step 2: Convert to fraction form
   1,585.47/2,189.52 = 1,306.63/x
3. Step 3: Cross multiply
   1,585.47x = 2,189.52 × 1,306.63
4. Step 4: Simplify right side
   1,585.47x = 2,860,875.04
5. Step 5: Solve for x
   x = 2,860,875.04/1,585.47
6. Step 6: Final answer
   x = 1,804.43