Finding the Fourth Proportional to 10,005.50, 13,810.84 and 5,812.94

Step by Step Solution

1. Step 1: Write the proportion equation
   10,005.50 : 13,810.84 = 5,812.94 : x
2. Step 2: Convert to fraction form
   10,005.50/13,810.84 = 5,812.94/x
3. Step 3: Cross multiply
   10,005.50x = 13,810.84 × 5,812.94
4. Step 4: Simplify right side
   10,005.50x = 80,281,584.27
5. Step 5: Solve for x
   x = 80,281,584.27/10,005.50
6. Step 6: Final answer
   x = 8,023.75