Finding the Fourth Proportional to 1,160.10, 1,601.61 and 767.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,160.10 : 1,601.61 = 767.82 : x
2. Step 2: Convert to fraction form
   1,160.10/1,601.61 = 767.82/x
3. Step 3: Cross multiply
   1,160.10x = 1,601.61 × 767.82
4. Step 4: Simplify right side
   1,160.10x = 1,229,748.19
5. Step 5: Solve for x
   x = 1,229,748.19/1,160.10
6. Step 6: Final answer
   x = 1,060.04