Finding the Fourth Proportional to 1,536.63, 2,120.54 and 838.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,536.63 : 2,120.54 = 838.05 : x
2. Step 2: Convert to fraction form
   1,536.63/2,120.54 = 838.05/x
3. Step 3: Cross multiply
   1,536.63x = 2,120.54 × 838.05
4. Step 4: Simplify right side
   1,536.63x = 1,777,118.55
5. Step 5: Solve for x
   x = 1,777,118.55/1,536.63
6. Step 6: Final answer
   x = 1,156.50