Finding the Fourth Proportional to 1,036.84, 1,430.72 and 588.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,036.84 : 1,430.72 = 588.71 : x
2. Step 2: Convert to fraction form
   1,036.84/1,430.72 = 588.71/x
3. Step 3: Cross multiply
   1,036.84x = 1,430.72 × 588.71
4. Step 4: Simplify right side
   1,036.84x = 842,279.17
5. Step 5: Solve for x
   x = 842,279.17/1,036.84
6. Step 6: Final answer
   x = 812.35