Finding the Fourth Proportional to 10,499.22, 14,488.91 and 5,783.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,499.22 : 14,488.91 = 5,783.50 : x
2. Step 2: Convert to fraction form
   10,499.22/14,488.91 = 5,783.50/x
3. Step 3: Cross multiply
   10,499.22x = 14,488.91 × 5,783.50
4. Step 4: Simplify right side
   10,499.22x = 83,796,621.87
5. Step 5: Solve for x
   x = 83,796,621.87/10,499.22
6. Step 6: Final answer
   x = 7,981.22