Finding the Fourth Proportional to 1,166.34, 1,747.89 and 588.54

Step by Step Solution

1. Step 1: Write the proportion equation
   1,166.34 : 1,747.89 = 588.54 : x
2. Step 2: Convert to fraction form
   1,166.34/1,747.89 = 588.54/x
3. Step 3: Cross multiply
   1,166.34x = 1,747.89 × 588.54
4. Step 4: Simplify right side
   1,166.34x = 1,028,703.18
5. Step 5: Solve for x
   x = 1,028,703.18/1,166.34
6. Step 6: Final answer
   x = 881.99