Finding the Fourth Proportional to 10,632.96, 14,665.86 and 7,801.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,632.96 : 14,665.86 = 7,801.20 : x
2. Step 2: Convert to fraction form
   10,632.96/14,665.86 = 7,801.20/x
3. Step 3: Cross multiply
   10,632.96x = 14,665.86 × 7,801.20
4. Step 4: Simplify right side
   10,632.96x = 114,411,307.03
5. Step 5: Solve for x
   x = 114,411,307.03/10,632.96
6. Step 6: Final answer
   x = 10,760.06