Finding the Fourth Proportional to 1,185.63, 1,775.40 and 877.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.63 : 1,775.40 = 877.02 : x
2. Step 2: Convert to fraction form
   1,185.63/1,775.40 = 877.02/x
3. Step 3: Cross multiply
   1,185.63x = 1,775.40 × 877.02
4. Step 4: Simplify right side
   1,185.63x = 1,557,061.31
5. Step 5: Solve for x
   x = 1,557,061.31/1,185.63
6. Step 6: Final answer
   x = 1,313.28