Finding the Fourth Proportional to 1,164.78, 1,748.18 and 471.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.78 : 1,748.18 = 471.83 : x
2. Step 2: Convert to fraction form
   1,164.78/1,748.18 = 471.83/x
3. Step 3: Cross multiply
   1,164.78x = 1,748.18 × 471.83
4. Step 4: Simplify right side
   1,164.78x = 824,836.21
5. Step 5: Solve for x
   x = 824,836.21/1,164.78
6. Step 6: Final answer
   x = 708.15