Finding the Fourth Proportional to 1,116.83, 1,676.16 and 468.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,116.83 : 1,676.16 = 468.02 : x
2. Step 2: Convert to fraction form
   1,116.83/1,676.16 = 468.02/x
3. Step 3: Cross multiply
   1,116.83x = 1,676.16 × 468.02
4. Step 4: Simplify right side
   1,116.83x = 784,480.59
5. Step 5: Solve for x
   x = 784,480.59/1,116.83
6. Step 6: Final answer
   x = 702.42