Finding the Fourth Proportional to 1,085.14, 1,498.71 and 735.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,085.14 : 1,498.71 = 735.22 : x
2. Step 2: Convert to fraction form
   1,085.14/1,498.71 = 735.22/x
3. Step 3: Cross multiply
   1,085.14x = 1,498.71 × 735.22
4. Step 4: Simplify right side
   1,085.14x = 1,101,881.57
5. Step 5: Solve for x
   x = 1,101,881.57/1,085.14
6. Step 6: Final answer
   x = 1,015.43