Finding the Fourth Proportional to 1,536.34, 2,120.15 and 837.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,536.34 : 2,120.15 = 837.72 : x
2. Step 2: Convert to fraction form
   1,536.34/2,120.15 = 837.72/x
3. Step 3: Cross multiply
   1,536.34x = 2,120.15 × 837.72
4. Step 4: Simplify right side
   1,536.34x = 1,776,092.06
5. Step 5: Solve for x
   x = 1,776,092.06/1,536.34
6. Step 6: Final answer
   x = 1,156.05