Finding the Fourth Proportional to 1,302.57, 1,797.59 and 830.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,302.57 : 1,797.59 = 830.47 : x
2. Step 2: Convert to fraction form
   1,302.57/1,797.59 = 830.47/x
3. Step 3: Cross multiply
   1,302.57x = 1,797.59 × 830.47
4. Step 4: Simplify right side
   1,302.57x = 1,492,844.57
5. Step 5: Solve for x
   x = 1,492,844.57/1,302.57
6. Step 6: Final answer
   x = 1,146.08