Finding the Fourth Proportional to 1,166.94, 1,748.61 and 590.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,166.94 : 1,748.61 = 590.22 : x
2. Step 2: Convert to fraction form
   1,166.94/1,748.61 = 590.22/x
3. Step 3: Cross multiply
   1,166.94x = 1,748.61 × 590.22
4. Step 4: Simplify right side
   1,166.94x = 1,032,064.59
5. Step 5: Solve for x
   x = 1,032,064.59/1,166.94
6. Step 6: Final answer
   x = 884.42