Finding the Fourth Proportional to 1,932.82, 2,900.86 and 838.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,932.82 : 2,900.86 = 838.02 : x
2. Step 2: Convert to fraction form
   1,932.82/2,900.86 = 838.02/x
3. Step 3: Cross multiply
   1,932.82x = 2,900.86 × 838.02
4. Step 4: Simplify right side
   1,932.82x = 2,430,978.70
5. Step 5: Solve for x
   x = 2,430,978.70/1,932.82
6. Step 6: Final answer
   x = 1,257.74