Finding the Fourth Proportional to 1,585.30, 2,185.44 and 1,111.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,585.30 : 2,185.44 = 1,111.72 : x
2. Step 2: Convert to fraction form
   1,585.30/2,185.44 = 1,111.72/x
3. Step 3: Cross multiply
   1,585.30x = 2,185.44 × 1,111.72
4. Step 4: Simplify right side
   1,585.30x = 2,429,597.36
5. Step 5: Solve for x
   x = 2,429,597.36/1,585.30
6. Step 6: Final answer
   x = 1,532.58