Finding the Fourth Proportional to 1,191.37, 1,788.20 and 575.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,191.37 : 1,788.20 = 575.50 : x
2. Step 2: Convert to fraction form
   1,191.37/1,788.20 = 575.50/x
3. Step 3: Cross multiply
   1,191.37x = 1,788.20 × 575.50
4. Step 4: Simplify right side
   1,191.37x = 1,029,109.10
5. Step 5: Solve for x
   x = 1,029,109.10/1,191.37
6. Step 6: Final answer
   x = 863.80