Finding the Fourth Proportional to 10,842.50, 14,962.66 and 5,874.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,842.50 : 14,962.66 = 5,874.50 : x
2. Step 2: Convert to fraction form
   10,842.50/14,962.66 = 5,874.50/x
3. Step 3: Cross multiply
   10,842.50x = 14,962.66 × 5,874.50
4. Step 4: Simplify right side
   10,842.50x = 87,898,146.17
5. Step 5: Solve for x
   x = 87,898,146.17/10,842.50
6. Step 6: Final answer
   x = 8,106.82