Finding the Fourth Proportional to 10,746.84, 16,124.88 and 5,820

Step by Step Solution

1. Step 1: Write the proportion equation
   10,746.84 : 16,124.88 = 5,820 : x
2. Step 2: Convert to fraction form
   10,746.84/16,124.88 = 5,820/x
3. Step 3: Cross multiply
   10,746.84x = 16,124.88 × 5,820
4. Step 4: Simplify right side
   10,746.84x = 93,846,801.60
5. Step 5: Solve for x
   x = 93,846,801.60/10,746.84
6. Step 6: Final answer
   x = 8,732.50