Finding the Fourth Proportional to 10,467.40, 14,457.78 and 7,826.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,467.40 : 14,457.78 = 7,826.50 : x
2. Step 2: Convert to fraction form
   10,467.40/14,457.78 = 7,826.50/x
3. Step 3: Cross multiply
   10,467.40x = 14,457.78 × 7,826.50
4. Step 4: Simplify right side
   10,467.40x = 113,153,815.17
5. Step 5: Solve for x
   x = 113,153,815.17/10,467.40
6. Step 6: Final answer
   x = 10,810.12