Finding the Fourth Proportional to 10,422.64, 14,383.14 and 5,642.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,422.64 : 14,383.14 = 5,642.50 : x
2. Step 2: Convert to fraction form
   10,422.64/14,383.14 = 5,642.50/x
3. Step 3: Cross multiply
   10,422.64x = 14,383.14 × 5,642.50
4. Step 4: Simplify right side
   10,422.64x = 81,156,867.45
5. Step 5: Solve for x
   x = 81,156,867.45/10,422.64
6. Step 6: Final answer
   x = 7,786.59