Finding the Fourth Proportional to 1,333.86, 1,838.87 and 836.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,333.86 : 1,838.87 = 836.16 : x
2. Step 2: Convert to fraction form
   1,333.86/1,838.87 = 836.16/x
3. Step 3: Cross multiply
   1,333.86x = 1,838.87 × 836.16
4. Step 4: Simplify right side
   1,333.86x = 1,537,591.94
5. Step 5: Solve for x
   x = 1,537,591.94/1,333.86
6. Step 6: Final answer
   x = 1,152.74