Finding the Fourth Proportional to 10,506, 14,498.28 and 5,790.33

Step by Step Solution

1. Step 1: Write the proportion equation
   10,506 : 14,498.28 = 5,790.33 : x
2. Step 2: Convert to fraction form
   10,506/14,498.28 = 5,790.33/x
3. Step 3: Cross multiply
   10,506x = 14,498.28 × 5,790.33
4. Step 4: Simplify right side
   10,506x = 83,949,825.63
5. Step 5: Solve for x
   x = 83,949,825.63/10,506
6. Step 6: Final answer
   x = 7,990.66