Finding the Fourth Proportional to 1,166.00, 1,748.28 and 434.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,166.00 : 1,748.28 = 434.72 : x
2. Step 2: Convert to fraction form
   1,166.00/1,748.28 = 434.72/x
3. Step 3: Cross multiply
   1,166.00x = 1,748.28 × 434.72
4. Step 4: Simplify right side
   1,166.00x = 760,008.45
5. Step 5: Solve for x
   x = 760,008.45/1,166.00
6. Step 6: Final answer
   x = 651.81