Finding the Fourth Proportional to 1,501.61, 2,072.25 and 838.49

Step by Step Solution

1. Step 1: Write the proportion equation
   1,501.61 : 2,072.25 = 838.49 : x
2. Step 2: Convert to fraction form
   1,501.61/2,072.25 = 838.49/x
3. Step 3: Cross multiply
   1,501.61x = 2,072.25 × 838.49
4. Step 4: Simplify right side
   1,501.61x = 1,737,550.54
5. Step 5: Solve for x
   x = 1,737,550.54/1,501.61
6. Step 6: Final answer
   x = 1,157.13