Finding the Fourth Proportional to 1,191.89, 1,788.98 and 576.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,191.89 : 1,788.98 = 576.02 : x
2. Step 2: Convert to fraction form
   1,191.89/1,788.98 = 576.02/x
3. Step 3: Cross multiply
   1,191.89x = 1,788.98 × 576.02
4. Step 4: Simplify right side
   1,191.89x = 1,030,476.43
5. Step 5: Solve for x
   x = 1,030,476.43/1,191.89
6. Step 6: Final answer
   x = 864.58