Finding the Fourth Proportional to 1,585.34, 2,185.47 and 1,111.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,585.34 : 2,185.47 = 1,111.76 : x
2. Step 2: Convert to fraction form
   1,585.34/2,185.47 = 1,111.76/x
3. Step 3: Cross multiply
   1,585.34x = 2,185.47 × 1,111.76
4. Step 4: Simplify right side
   1,585.34x = 2,429,718.13
5. Step 5: Solve for x
   x = 2,429,718.13/1,585.34
6. Step 6: Final answer
   x = 1,532.62