Finding the Fourth Proportional to 10,278, 14,185.56 and 5,862

Step by Step Solution

1. Step 1: Write the proportion equation
   10,278 : 14,185.56 = 5,862 : x
2. Step 2: Convert to fraction form
   10,278/14,185.56 = 5,862/x
3. Step 3: Cross multiply
   10,278x = 14,185.56 × 5,862
4. Step 4: Simplify right side
   10,278x = 83,155,752.72
5. Step 5: Solve for x
   x = 83,155,752.72/10,278
6. Step 6: Final answer
   x = 8,090.66