Finding the Fourth Proportional to 2,128, 2,936.64 and 1,300

Step by Step Solution

1. Step 1: Write the proportion equation
   2,128 : 2,936.64 = 1,300 : x
2. Step 2: Convert to fraction form
   2,128/2,936.64 = 1,300/x
3. Step 3: Cross multiply
   2,128x = 2,936.64 × 1,300
4. Step 4: Simplify right side
   2,128x = 3,817,632
5. Step 5: Solve for x
   x = 3,817,632/2,128
6. Step 6: Final answer
   x = 1,794