Finding the Fourth Proportional to 2,042.18, 2,814.93 and 1,378.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,042.18 : 2,814.93 = 1,378.82 : x
2. Step 2: Convert to fraction form
   2,042.18/2,814.93 = 1,378.82/x
3. Step 3: Cross multiply
   2,042.18x = 2,814.93 × 1,378.82
4. Step 4: Simplify right side
   2,042.18x = 3,881,281.78
5. Step 5: Solve for x
   x = 3,881,281.78/2,042.18
6. Step 6: Final answer
   x = 1,900.56