Finding the Fourth Proportional to 1,536.69, 2,120.63 and 838.07

Step by Step Solution

1. Step 1: Write the proportion equation
   1,536.69 : 2,120.63 = 838.07 : x
2. Step 2: Convert to fraction form
   1,536.69/2,120.63 = 838.07/x
3. Step 3: Cross multiply
   1,536.69x = 2,120.63 × 838.07
4. Step 4: Simplify right side
   1,536.69x = 1,777,225.78
5. Step 5: Solve for x
   x = 1,777,225.78/1,536.69
6. Step 6: Final answer
   x = 1,156.53