Finding the Fourth Proportional to 1,536.89, 2,120.93 and 838.26

Step by Step Solution

1. Step 1: Write the proportion equation
   1,536.89 : 2,120.93 = 838.26 : x
2. Step 2: Convert to fraction form
   1,536.89/2,120.93 = 838.26/x
3. Step 3: Cross multiply
   1,536.89x = 2,120.93 × 838.26
4. Step 4: Simplify right side
   1,536.89x = 1,777,886.59
5. Step 5: Solve for x
   x = 1,777,886.59/1,536.89
6. Step 6: Final answer
   x = 1,156.81