Finding the Fourth Proportional to 10,349.79, 14,282.30 and 5,634.08

Step by Step Solution

1. Step 1: Write the proportion equation
   10,349.79 : 14,282.30 = 5,634.08 : x
2. Step 2: Convert to fraction form
   10,349.79/14,282.30 = 5,634.08/x
3. Step 3: Cross multiply
   10,349.79x = 14,282.30 × 5,634.08
4. Step 4: Simplify right side
   10,349.79x = 80,467,521.20
5. Step 5: Solve for x
   x = 80,467,521.20/10,349.79
6. Step 6: Final answer
   x = 7,774.80