Finding the Fourth Proportional to 1,501.50, 2,071.87 and 838.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,501.50 : 2,071.87 = 838.38 : x
2. Step 2: Convert to fraction form
   1,501.50/2,071.87 = 838.38/x
3. Step 3: Cross multiply
   1,501.50x = 2,071.87 × 838.38
4. Step 4: Simplify right side
   1,501.50x = 1,737,013.11
5. Step 5: Solve for x
   x = 1,737,013.11/1,501.50
6. Step 6: Final answer
   x = 1,156.85