Finding the Fourth Proportional to 4,196.76, 5,784.62 and 3,075.92

Step by Step Solution

1. Step 1: Write the proportion equation
   4,196.76 : 5,784.62 = 3,075.92 : x
2. Step 2: Convert to fraction form
   4,196.76/5,784.62 = 3,075.92/x
3. Step 3: Cross multiply
   4,196.76x = 5,784.62 × 3,075.92
4. Step 4: Simplify right side
   4,196.76x = 17,793,038.28
5. Step 5: Solve for x
   x = 17,793,038.28/4,196.76
6. Step 6: Final answer
   x = 4,239.71