Finding the Fourth Proportional to 1,407.32, 2,111.52 and 585.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,407.32 : 2,111.52 = 585.38 : x
2. Step 2: Convert to fraction form
   1,407.32/2,111.52 = 585.38/x
3. Step 3: Cross multiply
   1,407.32x = 2,111.52 × 585.38
4. Step 4: Simplify right side
   1,407.32x = 1,236,031.02
5. Step 5: Solve for x
   x = 1,236,031.02/1,407.32
6. Step 6: Final answer
   x = 878.29