Finding the Fourth Proportional to 10,506.77, 14,499.33 and 5,726.70

Step by Step Solution

1. Step 1: Write the proportion equation
   10,506.77 : 14,499.33 = 5,726.70 : x
2. Step 2: Convert to fraction form
   10,506.77/14,499.33 = 5,726.70/x
3. Step 3: Cross multiply
   10,506.77x = 14,499.33 × 5,726.70
4. Step 4: Simplify right side
   10,506.77x = 83,033,313.11
5. Step 5: Solve for x
   x = 83,033,313.11/10,506.77
6. Step 6: Final answer
   x = 7,902.84