Finding the Fourth Proportional to 1,111.01, 1,664.78 and 647.65

Step by Step Solution

1. Step 1: Write the proportion equation
   1,111.01 : 1,664.78 = 647.65 : x
2. Step 2: Convert to fraction form
   1,111.01/1,664.78 = 647.65/x
3. Step 3: Cross multiply
   1,111.01x = 1,664.78 × 647.65
4. Step 4: Simplify right side
   1,111.01x = 1,078,194.77
5. Step 5: Solve for x
   x = 1,078,194.77/1,111.01
6. Step 6: Final answer
   x = 970.46