Finding the Fourth Proportional to 10,499.30, 14,488.49 and 5,782.67

Step by Step Solution

1. Step 1: Write the proportion equation
   10,499.30 : 14,488.49 = 5,782.67 : x
2. Step 2: Convert to fraction form
   10,499.30/14,488.49 = 5,782.67/x
3. Step 3: Cross multiply
   10,499.30x = 14,488.49 × 5,782.67
4. Step 4: Simplify right side
   10,499.30x = 83,782,098.48
5. Step 5: Solve for x
   x = 83,782,098.48/10,499.30
6. Step 6: Final answer
   x = 7,979.78