Finding the Fourth Proportional to 10,506.63, 14,498.96 and 5,726.62

Step by Step Solution

1. Step 1: Write the proportion equation
   10,506.63 : 14,498.96 = 5,726.62 : x
2. Step 2: Convert to fraction form
   10,506.63/14,498.96 = 5,726.62/x
3. Step 3: Cross multiply
   10,506.63x = 14,498.96 × 5,726.62
4. Step 4: Simplify right side
   10,506.63x = 83,030,034.32
5. Step 5: Solve for x
   x = 83,030,034.32/10,506.63
6. Step 6: Final answer
   x = 7,902.63