Finding the Fourth Proportional to 10,030.59, 13,842.69 and 5,782.29

Step by Step Solution

1. Step 1: Write the proportion equation
   10,030.59 : 13,842.69 = 5,782.29 : x
2. Step 2: Convert to fraction form
   10,030.59/13,842.69 = 5,782.29/x
3. Step 3: Cross multiply
   10,030.59x = 13,842.69 × 5,782.29
4. Step 4: Simplify right side
   10,030.59x = 80,042,447.96
5. Step 5: Solve for x
   x = 80,042,447.96/10,030.59
6. Step 6: Final answer
   x = 7,979.83