Finding the Fourth Proportional to 1,238.82, 1,858.86 and 776.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,238.82 : 1,858.86 = 776.52 : x
2. Step 2: Convert to fraction form
   1,238.82/1,858.86 = 776.52/x
3. Step 3: Cross multiply
   1,238.82x = 1,858.86 × 776.52
4. Step 4: Simplify right side
   1,238.82x = 1,443,441.97
5. Step 5: Solve for x
   x = 1,443,441.97/1,238.82
6. Step 6: Final answer
   x = 1,165.17