Finding the Fourth Proportional to 10,499.23, 14,488.36 and 5,783.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,499.23 : 14,488.36 = 5,783.14 : x
2. Step 2: Convert to fraction form
   10,499.23/14,488.36 = 5,783.14/x
3. Step 3: Cross multiply
   10,499.23x = 14,488.36 × 5,783.14
4. Step 4: Simplify right side
   10,499.23x = 83,788,214.25
5. Step 5: Solve for x
   x = 83,788,214.25/10,499.23
6. Step 6: Final answer
   x = 7,980.42