Finding the Fourth Proportional to 10,378.88, 14,322.72 and 5,663.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,378.88 : 14,322.72 = 5,663.06 : x
2. Step 2: Convert to fraction form
   10,378.88/14,322.72 = 5,663.06/x
3. Step 3: Cross multiply
   10,378.88x = 14,322.72 × 5,663.06
4. Step 4: Simplify right side
   10,378.88x = 81,110,422.72
5. Step 5: Solve for x
   x = 81,110,422.72/10,378.88
6. Step 6: Final answer
   x = 7,814.95