Finding the Fourth Proportional to 1,162.35, 1,599.89 and 882.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,162.35 : 1,599.89 = 882.09 : x
2. Step 2: Convert to fraction form
   1,162.35/1,599.89 = 882.09/x
3. Step 3: Cross multiply
   1,162.35x = 1,599.89 × 882.09
4. Step 4: Simplify right side
   1,162.35x = 1,411,242.56
5. Step 5: Solve for x
   x = 1,411,242.56/1,162.35
6. Step 6: Final answer
   x = 1,214.13