Finding the Fourth Proportional to 1,838.10, 2,755.62 and 742.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,838.10 : 2,755.62 = 742.14 : x
2. Step 2: Convert to fraction form
   1,838.10/2,755.62 = 742.14/x
3. Step 3: Cross multiply
   1,838.10x = 2,755.62 × 742.14
4. Step 4: Simplify right side
   1,838.10x = 2,045,055.83
5. Step 5: Solve for x
   x = 2,045,055.83/1,838.10
6. Step 6: Final answer
   x = 1,112.59