Finding the Fourth Proportional to 10,349.34, 14,281.59 and 5,633.34

Step by Step Solution

1. Step 1: Write the proportion equation
   10,349.34 : 14,281.59 = 5,633.34 : x
2. Step 2: Convert to fraction form
   10,349.34/14,281.59 = 5,633.34/x
3. Step 3: Cross multiply
   10,349.34x = 14,281.59 × 5,633.34
4. Step 4: Simplify right side
   10,349.34x = 80,453,052.21
5. Step 5: Solve for x
   x = 80,453,052.21/10,349.34
6. Step 6: Final answer
   x = 7,773.74