Finding the Fourth Proportional to 1,036.23, 1,429.86 and 588.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,036.23 : 1,429.86 = 588.09 : x
2. Step 2: Convert to fraction form
   1,036.23/1,429.86 = 588.09/x
3. Step 3: Cross multiply
   1,036.23x = 1,429.86 × 588.09
4. Step 4: Simplify right side
   1,036.23x = 840,886.37
5. Step 5: Solve for x
   x = 840,886.37/1,036.23
6. Step 6: Final answer
   x = 811.49