Finding the Fourth Proportional to 1,162.56, 1,742.96 and 468.70

Step by Step Solution

1. Step 1: Write the proportion equation
   1,162.56 : 1,742.96 = 468.70 : x
2. Step 2: Convert to fraction form
   1,162.56/1,742.96 = 468.70/x
3. Step 3: Cross multiply
   1,162.56x = 1,742.96 × 468.70
4. Step 4: Simplify right side
   1,162.56x = 816,925.35
5. Step 5: Solve for x
   x = 816,925.35/1,162.56
6. Step 6: Final answer
   x = 702.70