Finding the Fourth Proportional to 1,501.94, 2,072.69 and 838.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,501.94 : 2,072.69 = 838.82 : x
2. Step 2: Convert to fraction form
   1,501.94/2,072.69 = 838.82/x
3. Step 3: Cross multiply
   1,501.94x = 2,072.69 × 838.82
4. Step 4: Simplify right side
   1,501.94x = 1,738,613.83
5. Step 5: Solve for x
   x = 1,738,613.83/1,501.94
6. Step 6: Final answer
   x = 1,157.58