Finding the Fourth Proportional to 10,498.35, 14,487.38 and 5,782.62

Step by Step Solution

1. Step 1: Write the proportion equation
   10,498.35 : 14,487.38 = 5,782.62 : x
2. Step 2: Convert to fraction form
   10,498.35/14,487.38 = 5,782.62/x
3. Step 3: Cross multiply
   10,498.35x = 14,487.38 × 5,782.62
4. Step 4: Simplify right side
   10,498.35x = 83,774,984.42
5. Step 5: Solve for x
   x = 83,774,984.42/10,498.35
6. Step 6: Final answer
   x = 7,979.82