Finding the Fourth Proportional to 10,602.81, 14,632.56 and 5,887.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,602.81 : 14,632.56 = 5,887.10 : x
2. Step 2: Convert to fraction form
   10,602.81/14,632.56 = 5,887.10/x
3. Step 3: Cross multiply
   10,602.81x = 14,632.56 × 5,887.10
4. Step 4: Simplify right side
   10,602.81x = 86,143,270.81
5. Step 5: Solve for x
   x = 86,143,270.81/10,602.81
6. Step 6: Final answer
   x = 8,124.57