Finding the Fourth Proportional to 1,407.57, 2,111.31 and 585.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,407.57 : 2,111.31 = 585.62 : x
2. Step 2: Convert to fraction form
   1,407.57/2,111.31 = 585.62/x
3. Step 3: Cross multiply
   1,407.57x = 2,111.31 × 585.62
4. Step 4: Simplify right side
   1,407.57x = 1,236,422.72
5. Step 5: Solve for x
   x = 1,236,422.72/1,407.57
6. Step 6: Final answer
   x = 878.41