Finding the Fourth Proportional to 2,507.88, 3,761.78 and 842.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,507.88 : 3,761.78 = 842.12 : x
2. Step 2: Convert to fraction form
   2,507.88/3,761.78 = 842.12/x
3. Step 3: Cross multiply
   2,507.88x = 3,761.78 × 842.12
4. Step 4: Simplify right side
   2,507.88x = 3,167,870.17
5. Step 5: Solve for x
   x = 3,167,870.17/2,507.88
6. Step 6: Final answer
   x = 1,263.17