Finding the Fourth Proportional to 1,166.63, 1,748.92 and 436.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,166.63 : 1,748.92 = 436.72 : x
2. Step 2: Convert to fraction form
   1,166.63/1,748.92 = 436.72/x
3. Step 3: Cross multiply
   1,166.63x = 1,748.92 × 436.72
4. Step 4: Simplify right side
   1,166.63x = 763,780.83
5. Step 5: Solve for x
   x = 763,780.83/1,166.63
6. Step 6: Final answer
   x = 654.69