Finding the Fourth Proportional to 10,354.56, 14,288.84 and 5,638.84

Step by Step Solution

1. Step 1: Write the proportion equation
   10,354.56 : 14,288.84 = 5,638.84 : x
2. Step 2: Convert to fraction form
   10,354.56/14,288.84 = 5,638.84/x
3. Step 3: Cross multiply
   10,354.56x = 14,288.84 × 5,638.84
4. Step 4: Simplify right side
   10,354.56x = 80,572,482.55
5. Step 5: Solve for x
   x = 80,572,482.55/10,354.56
6. Step 6: Final answer
   x = 7,781.35