Finding the Fourth Proportional to 1,166.10, 1,747.59 and 434.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,166.10 : 1,747.59 = 434.94 : x
2. Step 2: Convert to fraction form
   1,166.10/1,747.59 = 434.94/x
3. Step 3: Cross multiply
   1,166.10x = 1,747.59 × 434.94
4. Step 4: Simplify right side
   1,166.10x = 760,096.79
5. Step 5: Solve for x
   x = 760,096.79/1,166.10
6. Step 6: Final answer
   x = 651.83