Finding the Fourth Proportional to 1,147.89, 1,721.23 and 782.79

Step by Step Solution

1. Step 1: Write the proportion equation
   1,147.89 : 1,721.23 = 782.79 : x
2. Step 2: Convert to fraction form
   1,147.89/1,721.23 = 782.79/x
3. Step 3: Cross multiply
   1,147.89x = 1,721.23 × 782.79
4. Step 4: Simplify right side
   1,147.89x = 1,347,361.63
5. Step 5: Solve for x
   x = 1,347,361.63/1,147.89
6. Step 6: Final answer
   x = 1,173.77