Finding the Fourth Proportional to 1,182.72, 1,770.96 and 792.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,182.72 : 1,770.96 = 792.10 : x
2. Step 2: Convert to fraction form
   1,182.72/1,770.96 = 792.10/x
3. Step 3: Cross multiply
   1,182.72x = 1,770.96 × 792.10
4. Step 4: Simplify right side
   1,182.72x = 1,402,777.42
5. Step 5: Solve for x
   x = 1,402,777.42/1,182.72
6. Step 6: Final answer
   x = 1,186.06