Finding the Fourth Proportional to 10,498.10, 14,487.02 and 5,782.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,498.10 : 14,487.02 = 5,782.38 : x
2. Step 2: Convert to fraction form
   10,498.10/14,487.02 = 5,782.38/x
3. Step 3: Cross multiply
   10,498.10x = 14,487.02 × 5,782.38
4. Step 4: Simplify right side
   10,498.10x = 83,769,454.71
5. Step 5: Solve for x
   x = 83,769,454.71/10,498.10
6. Step 6: Final answer
   x = 7,979.49