Finding the Fourth Proportional to 1,092.66, 1,640.82 and 975.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,092.66 : 1,640.82 = 975.72 : x
2. Step 2: Convert to fraction form
   1,092.66/1,640.82 = 975.72/x
3. Step 3: Cross multiply
   1,092.66x = 1,640.82 × 975.72
4. Step 4: Simplify right side
   1,092.66x = 1,600,980.89
5. Step 5: Solve for x
   x = 1,600,980.89/1,092.66
6. Step 6: Final answer
   x = 1,465.21