Finding the Fourth Proportional to 882.18, 1,215.83 and 780.37

Step by Step Solution

1. Step 1: Write the proportion equation
   882.18 : 1,215.83 = 780.37 : x
2. Step 2: Convert to fraction form
   882.18/1,215.83 = 780.37/x
3. Step 3: Cross multiply
   882.18x = 1,215.83 × 780.37
4. Step 4: Simplify right side
   882.18x = 948,796.17
5. Step 5: Solve for x
   x = 948,796.17/882.18
6. Step 6: Final answer
   x = 1,075.51