Finding the Fourth Proportional to 10,499.66, 14,488.84 and 5,783.94

Step by Step Solution

1. Step 1: Write the proportion equation
   10,499.66 : 14,488.84 = 5,783.94 : x
2. Step 2: Convert to fraction form
   10,499.66/14,488.84 = 5,783.94/x
3. Step 3: Cross multiply
   10,499.66x = 14,488.84 × 5,783.94
4. Step 4: Simplify right side
   10,499.66x = 83,802,588.46
5. Step 5: Solve for x
   x = 83,802,588.46/10,499.66
6. Step 6: Final answer
   x = 7,981.46