Finding the Fourth Proportional to 1,585.72, 2,376.24 and 1,412.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,585.72 : 2,376.24 = 1,412.71 : x
2. Step 2: Convert to fraction form
   1,585.72/2,376.24 = 1,412.71/x
3. Step 3: Cross multiply
   1,585.72x = 2,376.24 × 1,412.71
4. Step 4: Simplify right side
   1,585.72x = 3,356,938.01
5. Step 5: Solve for x
   x = 3,356,938.01/1,585.72
6. Step 6: Final answer
   x = 2,116.98