Finding the Fourth Proportional to 1,059.29, 1,461.71 and 838.79

Step by Step Solution

1. Step 1: Write the proportion equation
   1,059.29 : 1,461.71 = 838.79 : x
2. Step 2: Convert to fraction form
   1,059.29/1,461.71 = 838.79/x
3. Step 3: Cross multiply
   1,059.29x = 1,461.71 × 838.79
4. Step 4: Simplify right side
   1,059.29x = 1,226,062.52
5. Step 5: Solve for x
   x = 1,226,062.52/1,059.29
6. Step 6: Final answer
   x = 1,157.44