Finding the Fourth Proportional to 1,164.00, 1,606.50 and 721.91

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.00 : 1,606.50 = 721.91 : x
2. Step 2: Convert to fraction form
   1,164.00/1,606.50 = 721.91/x
3. Step 3: Cross multiply
   1,164.00x = 1,606.50 × 721.91
4. Step 4: Simplify right side
   1,164.00x = 1,159,752.43
5. Step 5: Solve for x
   x = 1,159,752.43/1,164.00
6. Step 6: Final answer
   x = 996.35