Finding the Fourth Proportional to 1,320.34, 1,978.71 and 734.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,320.34 : 1,978.71 = 734.50 : x
2. Step 2: Convert to fraction form
   1,320.34/1,978.71 = 734.50/x
3. Step 3: Cross multiply
   1,320.34x = 1,978.71 × 734.50
4. Step 4: Simplify right side
   1,320.34x = 1,453,362.50
5. Step 5: Solve for x
   x = 1,453,362.50/1,320.34
6. Step 6: Final answer
   x = 1,100.75