Finding the Fourth Proportional to 10,221.50, 14,105.55 and 5,746.01

Step by Step Solution

1. Step 1: Write the proportion equation
   10,221.50 : 14,105.55 = 5,746.01 : x
2. Step 2: Convert to fraction form
   10,221.50/14,105.55 = 5,746.01/x
3. Step 3: Cross multiply
   10,221.50x = 14,105.55 × 5,746.01
4. Step 4: Simplify right side
   10,221.50x = 81,050,631.36
5. Step 5: Solve for x
   x = 81,050,631.36/10,221.50
6. Step 6: Final answer
   x = 7,929.43