Finding the Fourth Proportional to 1,588.37, 2,380.77 and 711.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,588.37 : 2,380.77 = 711.59 : x
2. Step 2: Convert to fraction form
   1,588.37/2,380.77 = 711.59/x
3. Step 3: Cross multiply
   1,588.37x = 2,380.77 × 711.59
4. Step 4: Simplify right side
   1,588.37x = 1,694,120.22
5. Step 5: Solve for x
   x = 1,694,120.22/1,588.37
6. Step 6: Final answer
   x = 1,066.58