Finding the Fourth Proportional to 10,499.13, 14,488.88 and 5,783.49

Step by Step Solution

1. Step 1: Write the proportion equation
   10,499.13 : 14,488.88 = 5,783.49 : x
2. Step 2: Convert to fraction form
   10,499.13/14,488.88 = 5,783.49/x
3. Step 3: Cross multiply
   10,499.13x = 14,488.88 × 5,783.49
4. Step 4: Simplify right side
   10,499.13x = 83,796,263.67
5. Step 5: Solve for x
   x = 83,796,263.67/10,499.13
6. Step 6: Final answer
   x = 7,981.26