Finding the Fourth Proportional to 10,347.87, 14,280.03 and 5,632.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,347.87 : 14,280.03 = 5,632.14 : x
2. Step 2: Convert to fraction form
   10,347.87/14,280.03 = 5,632.14/x
3. Step 3: Cross multiply
   10,347.87x = 14,280.03 × 5,632.14
4. Step 4: Simplify right side
   10,347.87x = 80,427,128.16
5. Step 5: Solve for x
   x = 80,427,128.16/10,347.87
6. Step 6: Final answer
   x = 7,772.34