Finding the Fourth Proportional to 10,506.76, 14,499.32 and 5,726.70

Step by Step Solution

1. Step 1: Write the proportion equation
   10,506.76 : 14,499.32 = 5,726.70 : x
2. Step 2: Convert to fraction form
   10,506.76/14,499.32 = 5,726.70/x
3. Step 3: Cross multiply
   10,506.76x = 14,499.32 × 5,726.70
4. Step 4: Simplify right side
   10,506.76x = 83,033,255.84
5. Step 5: Solve for x
   x = 83,033,255.84/10,506.76
6. Step 6: Final answer
   x = 7,902.84