Finding the Fourth Proportional to 10,506.56, 14,498.88 and 5,791.28

Step by Step Solution

1. Step 1: Write the proportion equation
   10,506.56 : 14,498.88 = 5,791.28 : x
2. Step 2: Convert to fraction form
   10,506.56/14,498.88 = 5,791.28/x
3. Step 3: Cross multiply
   10,506.56x = 14,498.88 × 5,791.28
4. Step 4: Simplify right side
   10,506.56x = 83,967,073.77
5. Step 5: Solve for x
   x = 83,967,073.77/10,506.56
6. Step 6: Final answer
   x = 7,991.87