Finding the Fourth Proportional to 1,007.63, 1,390.53 and 588.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,007.63 : 1,390.53 = 588.27 : x
2. Step 2: Convert to fraction form
   1,007.63/1,390.53 = 588.27/x
3. Step 3: Cross multiply
   1,007.63x = 1,390.53 × 588.27
4. Step 4: Simplify right side
   1,007.63x = 818,002.14
5. Step 5: Solve for x
   x = 818,002.14/1,007.63
6. Step 6: Final answer
   x = 811.81