Finding the Fourth Proportional to 10,378.80, 14,322.78 and 5,663.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,378.80 : 14,322.78 = 5,663.16 : x
2. Step 2: Convert to fraction form
   10,378.80/14,322.78 = 5,663.16/x
3. Step 3: Cross multiply
   10,378.80x = 14,322.78 × 5,663.16
4. Step 4: Simplify right side
   10,378.80x = 81,112,194.78
5. Step 5: Solve for x
   x = 81,112,194.78/10,378.80
6. Step 6: Final answer
   x = 7,815.18