Finding the Fourth Proportional to 10,801.48, 14,912.50 and 7,814.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,801.48 : 14,912.50 = 7,814.20 : x
2. Step 2: Convert to fraction form
   10,801.48/14,912.50 = 7,814.20/x
3. Step 3: Cross multiply
   10,801.48x = 14,912.50 × 7,814.20
4. Step 4: Simplify right side
   10,801.48x = 116,529,257.50
5. Step 5: Solve for x
   x = 116,529,257.50/10,801.48
6. Step 6: Final answer
   x = 10,788.27