Finding the Fourth Proportional to 1,137.82, 1,705.56 and 588.79

Step by Step Solution

1. Step 1: Write the proportion equation
   1,137.82 : 1,705.56 = 588.79 : x
2. Step 2: Convert to fraction form
   1,137.82/1,705.56 = 588.79/x
3. Step 3: Cross multiply
   1,137.82x = 1,705.56 × 588.79
4. Step 4: Simplify right side
   1,137.82x = 1,004,216.67
5. Step 5: Solve for x
   x = 1,004,216.67/1,137.82
6. Step 6: Final answer
   x = 882.58