Finding the Fourth Proportional to 10,402.53, 14,355.53 and 5,686.81

Step by Step Solution

1. Step 1: Write the proportion equation
   10,402.53 : 14,355.53 = 5,686.81 : x
2. Step 2: Convert to fraction form
   10,402.53/14,355.53 = 5,686.81/x
3. Step 3: Cross multiply
   10,402.53x = 14,355.53 × 5,686.81
4. Step 4: Simplify right side
   10,402.53x = 81,637,128.56
5. Step 5: Solve for x
   x = 81,637,128.56/10,402.53
6. Step 6: Final answer
   x = 7,847.82