Finding the Fourth Proportional to 1,501.71, 2,072.34 and 838.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,501.71 : 2,072.34 = 838.57 : x
2. Step 2: Convert to fraction form
   1,501.71/2,072.34 = 838.57/x
3. Step 3: Cross multiply
   1,501.71x = 2,072.34 × 838.57
4. Step 4: Simplify right side
   1,501.71x = 1,737,797.96
5. Step 5: Solve for x
   x = 1,737,797.96/1,501.71
6. Step 6: Final answer
   x = 1,157.21