Finding the Fourth Proportional to 1,105.50, 1,525.86 and 640.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.50 : 1,525.86 = 640.02 : x
2. Step 2: Convert to fraction form
   1,105.50/1,525.86 = 640.02/x
3. Step 3: Cross multiply
   1,105.50x = 1,525.86 × 640.02
4. Step 4: Simplify right side
   1,105.50x = 976,580.92
5. Step 5: Solve for x
   x = 976,580.92/1,105.50
6. Step 6: Final answer
   x = 883.38