Finding the Fourth Proportional to 1,189.89, 1,783.38 and 565.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,189.89 : 1,783.38 = 565.53 : x
2. Step 2: Convert to fraction form
   1,189.89/1,783.38 = 565.53/x
3. Step 3: Cross multiply
   1,189.89x = 1,783.38 × 565.53
4. Step 4: Simplify right side
   1,189.89x = 1,008,554.89
5. Step 5: Solve for x
   x = 1,008,554.89/1,189.89
6. Step 6: Final answer
   x = 847.60