Finding the Fourth Proportional to 1,536.78, 2,120.70 and 838.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,536.78 : 2,120.70 = 838.14 : x
2. Step 2: Convert to fraction form
   1,536.78/2,120.70 = 838.14/x
3. Step 3: Cross multiply
   1,536.78x = 2,120.70 × 838.14
4. Step 4: Simplify right side
   1,536.78x = 1,777,443.50
5. Step 5: Solve for x
   x = 1,777,443.50/1,536.78
6. Step 6: Final answer
   x = 1,156.60