Finding the Fourth Proportional to 1,536.83, 2,120.82 and 838.21

Step by Step Solution

1. Step 1: Write the proportion equation
   1,536.83 : 2,120.82 = 838.21 : x
2. Step 2: Convert to fraction form
   1,536.83/2,120.82 = 838.21/x
3. Step 3: Cross multiply
   1,536.83x = 2,120.82 × 838.21
4. Step 4: Simplify right side
   1,536.83x = 1,777,681.93
5. Step 5: Solve for x
   x = 1,777,681.93/1,536.83
6. Step 6: Final answer
   x = 1,156.72