Finding the Fourth Proportional to 1,501.61, 2,071.98 and 838.35

Step by Step Solution

1. Step 1: Write the proportion equation
   1,501.61 : 2,071.98 = 838.35 : x
2. Step 2: Convert to fraction form
   1,501.61/2,071.98 = 838.35/x
3. Step 3: Cross multiply
   1,501.61x = 2,071.98 × 838.35
4. Step 4: Simplify right side
   1,501.61x = 1,737,044.43
5. Step 5: Solve for x
   x = 1,737,044.43/1,501.61
6. Step 6: Final answer
   x = 1,156.79