Finding the Fourth Proportional to 1,501.78, 2,072.24 and 838.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,501.78 : 2,072.24 = 838.58 : x
2. Step 2: Convert to fraction form
   1,501.78/2,072.24 = 838.58/x
3. Step 3: Cross multiply
   1,501.78x = 2,072.24 × 838.58
4. Step 4: Simplify right side
   1,501.78x = 1,737,739.02
5. Step 5: Solve for x
   x = 1,737,739.02/1,501.78
6. Step 6: Final answer
   x = 1,157.12