Finding the Fourth Proportional to 1,109.83, 1,662.15 and 877.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109.83 : 1,662.15 = 877.16 : x
2. Step 2: Convert to fraction form
   1,109.83/1,662.15 = 877.16/x
3. Step 3: Cross multiply
   1,109.83x = 1,662.15 × 877.16
4. Step 4: Simplify right side
   1,109.83x = 1,457,968.44
5. Step 5: Solve for x
   x = 1,457,968.44/1,109.83
6. Step 6: Final answer
   x = 1,313.69