Finding the Fourth Proportional to 1,501.89, 2,072.54 and 838.65

Step by Step Solution

1. Step 1: Write the proportion equation
   1,501.89 : 2,072.54 = 838.65 : x
2. Step 2: Convert to fraction form
   1,501.89/2,072.54 = 838.65/x
3. Step 3: Cross multiply
   1,501.89x = 2,072.54 × 838.65
4. Step 4: Simplify right side
   1,501.89x = 1,738,140.82
5. Step 5: Solve for x
   x = 1,738,140.82/1,501.89
6. Step 6: Final answer
   x = 1,157.30