Finding the Fourth Proportional to 1,298.76, 1,790.40 and 926.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,298.76 : 1,790.40 = 926.16 : x
2. Step 2: Convert to fraction form
   1,298.76/1,790.40 = 926.16/x
3. Step 3: Cross multiply
   1,298.76x = 1,790.40 × 926.16
4. Step 4: Simplify right side
   1,298.76x = 1,658,196.86
5. Step 5: Solve for x
   x = 1,658,196.86/1,298.76
6. Step 6: Final answer
   x = 1,276.75