Finding the Fourth Proportional to 1,742.31, 2,405.70 and 1,105.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,742.31 : 2,405.70 = 1,105.25 : x
2. Step 2: Convert to fraction form
   1,742.31/2,405.70 = 1,105.25/x
3. Step 3: Cross multiply
   1,742.31x = 2,405.70 × 1,105.25
4. Step 4: Simplify right side
   1,742.31x = 2,658,887.90
5. Step 5: Solve for x
   x = 2,658,887.90/1,742.31
6. Step 6: Final answer
   x = 1,526.07