Finding the Fourth Proportional to 1,258.56, 1,736.88 and 838.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,258.56 : 1,736.88 = 838.16 : x
2. Step 2: Convert to fraction form
   1,258.56/1,736.88 = 838.16/x
3. Step 3: Cross multiply
   1,258.56x = 1,736.88 × 838.16
4. Step 4: Simplify right side
   1,258.56x = 1,455,783.34
5. Step 5: Solve for x
   x = 1,455,783.34/1,258.56
6. Step 6: Final answer
   x = 1,156.71