Finding the Fourth Proportional to 1,536.88, 2,120.89 and 838.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,536.88 : 2,120.89 = 838.25 : x
2. Step 2: Convert to fraction form
   1,536.88/2,120.89 = 838.25/x
3. Step 3: Cross multiply
   1,536.88x = 2,120.89 × 838.25
4. Step 4: Simplify right side
   1,536.88x = 1,777,836.04
5. Step 5: Solve for x
   x = 1,777,836.04/1,536.88
6. Step 6: Final answer
   x = 1,156.79