Finding the Fourth Proportional to 1,105.40, 1,656.56 and 735.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.40 : 1,656.56 = 735.63 : x
2. Step 2: Convert to fraction form
   1,105.40/1,656.56 = 735.63/x
3. Step 3: Cross multiply
   1,105.40x = 1,656.56 × 735.63
4. Step 4: Simplify right side
   1,105.40x = 1,218,611.55
5. Step 5: Solve for x
   x = 1,218,611.55/1,105.40
6. Step 6: Final answer
   x = 1,102.42