Finding the Fourth Proportional to 1,501.50, 2,072.05 and 838.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,501.50 : 2,072.05 = 838.52 : x
2. Step 2: Convert to fraction form
   1,501.50/2,072.05 = 838.52/x
3. Step 3: Cross multiply
   1,501.50x = 2,072.05 × 838.52
4. Step 4: Simplify right side
   1,501.50x = 1,737,455.37
5. Step 5: Solve for x
   x = 1,737,455.37/1,501.50
6. Step 6: Final answer
   x = 1,157.15