Finding the Fourth Proportional to 1,172.82, 1,760.10 and 1,101.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,172.82 : 1,760.10 = 1,101.12 : x
2. Step 2: Convert to fraction form
   1,172.82/1,760.10 = 1,101.12/x
3. Step 3: Cross multiply
   1,172.82x = 1,760.10 × 1,101.12
4. Step 4: Simplify right side
   1,172.82x = 1,938,081.31
5. Step 5: Solve for x
   x = 1,938,081.31/1,172.82
6. Step 6: Final answer
   x = 1,652.50