Finding the Fourth Proportional to 1,501.62, 2,072.31 and 838.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,501.62 : 2,072.31 = 838.59 : x
2. Step 2: Convert to fraction form
   1,501.62/2,072.31 = 838.59/x
3. Step 3: Cross multiply
   1,501.62x = 2,072.31 × 838.59
4. Step 4: Simplify right side
   1,501.62x = 1,737,818.44
5. Step 5: Solve for x
   x = 1,737,818.44/1,501.62
6. Step 6: Final answer
   x = 1,157.30