Finding the Fourth Proportional to 1,175.51, 1,762.76 and 558.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,175.51 : 1,762.76 = 558.50 : x
2. Step 2: Convert to fraction form
   1,175.51/1,762.76 = 558.50/x
3. Step 3: Cross multiply
   1,175.51x = 1,762.76 × 558.50
4. Step 4: Simplify right side
   1,175.51x = 984,494.04
5. Step 5: Solve for x
   x = 984,494.04/1,175.51
6. Step 6: Final answer
   x = 837.50