Finding the Fourth Proportional to 1,824.72, 2,734.80 and 783.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,824.72 : 2,734.80 = 783.50 : x
2. Step 2: Convert to fraction form
   1,824.72/2,734.80 = 783.50/x
3. Step 3: Cross multiply
   1,824.72x = 2,734.80 × 783.50
4. Step 4: Simplify right side
   1,824.72x = 2,142,702.13
5. Step 5: Solve for x
   x = 2,142,702.13/1,824.72
6. Step 6: Final answer
   x = 1,174.26