Finding the Fourth Proportional to 1,782.50, 2,672.38 and 1,089.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,782.50 : 2,672.38 = 1,089.50 : x
2. Step 2: Convert to fraction form
   1,782.50/2,672.38 = 1,089.50/x
3. Step 3: Cross multiply
   1,782.50x = 2,672.38 × 1,089.50
4. Step 4: Simplify right side
   1,782.50x = 2,911,549.07
5. Step 5: Solve for x
   x = 2,911,549.07/1,782.50
6. Step 6: Final answer
   x = 1,633.41