Finding the Fourth Proportional to 1,102, 1,520.50 and 659.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,102 : 1,520.50 = 659.82 : x
2. Step 2: Convert to fraction form
   1,102/1,520.50 = 659.82/x
3. Step 3: Cross multiply
   1,102x = 1,520.50 × 659.82
4. Step 4: Simplify right side
   1,102x = 1,003,256.31
5. Step 5: Solve for x
   x = 1,003,256.31/1,102
6. Step 6: Final answer
   x = 910.40