Finding the Fourth Proportional to 10,499.10, 14,487.27 and 5,783.68

Step by Step Solution

1. Step 1: Write the proportion equation
   10,499.10 : 14,487.27 = 5,783.68 : x
2. Step 2: Convert to fraction form
   10,499.10/14,487.27 = 5,783.68/x
3. Step 3: Cross multiply
   10,499.10x = 14,487.27 × 5,783.68
4. Step 4: Simplify right side
   10,499.10x = 83,789,733.75
5. Step 5: Solve for x
   x = 83,789,733.75/10,499.10
6. Step 6: Final answer
   x = 7,980.66