Finding the Fourth Proportional to 1,585.05, 2,185.34 and 1,300.43

Step by Step Solution

1. Step 1: Write the proportion equation
   1,585.05 : 2,185.34 = 1,300.43 : x
2. Step 2: Convert to fraction form
   1,585.05/2,185.34 = 1,300.43/x
3. Step 3: Cross multiply
   1,585.05x = 2,185.34 × 1,300.43
4. Step 4: Simplify right side
   1,585.05x = 2,841,864.27
5. Step 5: Solve for x
   x = 2,841,864.27/1,585.05
6. Step 6: Final answer
   x = 1,792.92