Finding the Fourth Proportional to 1,580.72, 2,369.23 and 1,189.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,580.72 : 2,369.23 = 1,189.46 : x
2. Step 2: Convert to fraction form
   1,580.72/2,369.23 = 1,189.46/x
3. Step 3: Cross multiply
   1,580.72x = 2,369.23 × 1,189.46
4. Step 4: Simplify right side
   1,580.72x = 2,818,098.37
5. Step 5: Solve for x
   x = 2,818,098.37/1,580.72
6. Step 6: Final answer
   x = 1,782.80