Finding the Fourth Proportional to 1,166.83, 1,749.33 and 647.01

Step by Step Solution

1. Step 1: Write the proportion equation
   1,166.83 : 1,749.33 = 647.01 : x
2. Step 2: Convert to fraction form
   1,166.83/1,749.33 = 647.01/x
3. Step 3: Cross multiply
   1,166.83x = 1,749.33 × 647.01
4. Step 4: Simplify right side
   1,166.83x = 1,131,834.00
5. Step 5: Solve for x
   x = 1,131,834.00/1,166.83
6. Step 6: Final answer
   x = 970.01