Finding the Fourth Proportional to 1,007.51, 1,390.37 and 588.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,007.51 : 1,390.37 = 588.15 : x
2. Step 2: Convert to fraction form
   1,007.51/1,390.37 = 588.15/x
3. Step 3: Cross multiply
   1,007.51x = 1,390.37 × 588.15
4. Step 4: Simplify right side
   1,007.51x = 817,743.17
5. Step 5: Solve for x
   x = 817,743.17/1,007.51
6. Step 6: Final answer
   x = 811.65