Finding the Fourth Proportional to 1,193.42, 1,788.78 and 645.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,193.42 : 1,788.78 = 645.86 : x
2. Step 2: Convert to fraction form
   1,193.42/1,788.78 = 645.86/x
3. Step 3: Cross multiply
   1,193.42x = 1,788.78 × 645.86
4. Step 4: Simplify right side
   1,193.42x = 1,155,301.45
5. Step 5: Solve for x
   x = 1,155,301.45/1,193.42
6. Step 6: Final answer
   x = 968.06