Finding the Fourth Proportional to 10,866.79, 14,996.51 and 7,637.05

Step by Step Solution

1. Step 1: Write the proportion equation
   10,866.79 : 14,996.51 = 7,637.05 : x
2. Step 2: Convert to fraction form
   10,866.79/14,996.51 = 7,637.05/x
3. Step 3: Cross multiply
   10,866.79x = 14,996.51 × 7,637.05
4. Step 4: Simplify right side
   10,866.79x = 114,529,096.70
5. Step 5: Solve for x
   x = 114,529,096.70/10,866.79
6. Step 6: Final answer
   x = 10,539.37