Finding the Fourth Proportional to 1,862.70, 2,796.06 and 767.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,862.70 : 2,796.06 = 767.82 : x
2. Step 2: Convert to fraction form
   1,862.70/2,796.06 = 767.82/x
3. Step 3: Cross multiply
   1,862.70x = 2,796.06 × 767.82
4. Step 4: Simplify right side
   1,862.70x = 2,146,870.79
5. Step 5: Solve for x
   x = 2,146,870.79/1,862.70
6. Step 6: Final answer
   x = 1,152.56