Finding the Fourth Proportional to 10,498.74, 15,738.39 and 5,878.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,498.74 : 15,738.39 = 5,878.50 : x
2. Step 2: Convert to fraction form
   10,498.74/15,738.39 = 5,878.50/x
3. Step 3: Cross multiply
   10,498.74x = 15,738.39 × 5,878.50
4. Step 4: Simplify right side
   10,498.74x = 92,518,125.62
5. Step 5: Solve for x
   x = 92,518,125.62/10,498.74
6. Step 6: Final answer
   x = 8,812.31