Finding the Fourth Proportional to 10,506.39, 14,498.85 and 5,790.57

Step by Step Solution

1. Step 1: Write the proportion equation
   10,506.39 : 14,498.85 = 5,790.57 : x
2. Step 2: Convert to fraction form
   10,506.39/14,498.85 = 5,790.57/x
3. Step 3: Cross multiply
   10,506.39x = 14,498.85 × 5,790.57
4. Step 4: Simplify right side
   10,506.39x = 83,956,605.84
5. Step 5: Solve for x
   x = 83,956,605.84/10,506.39
6. Step 6: Final answer
   x = 7,991.00