Finding the Fourth Proportional to 1,164.47, 1,746.71 and 298.79

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.47 : 1,746.71 = 298.79 : x
2. Step 2: Convert to fraction form
   1,164.47/1,746.71 = 298.79/x
3. Step 3: Cross multiply
   1,164.47x = 1,746.71 × 298.79
4. Step 4: Simplify right side
   1,164.47x = 521,889.25
5. Step 5: Solve for x
   x = 521,889.25/1,164.47
6. Step 6: Final answer
   x = 448.18