Finding the Fourth Proportional to 2,075.64, 3,113.38 and 842.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,075.64 : 3,113.38 = 842.72 : x
2. Step 2: Convert to fraction form
   2,075.64/3,113.38 = 842.72/x
3. Step 3: Cross multiply
   2,075.64x = 3,113.38 × 842.72
4. Step 4: Simplify right side
   2,075.64x = 2,623,707.59
5. Step 5: Solve for x
   x = 2,623,707.59/2,075.64
6. Step 6: Final answer
   x = 1,264.05