Finding the Fourth Proportional to 1,137.72, 1,705.02 and 588.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,137.72 : 1,705.02 = 588.78 : x
2. Step 2: Convert to fraction form
   1,137.72/1,705.02 = 588.78/x
3. Step 3: Cross multiply
   1,137.72x = 1,705.02 × 588.78
4. Step 4: Simplify right side
   1,137.72x = 1,003,881.68
5. Step 5: Solve for x
   x = 1,003,881.68/1,137.72
6. Step 6: Final answer
   x = 882.36