Finding the Fourth Proportional to 10,281.56, 14,188.60 and 5,565.84

Step by Step Solution

1. Step 1: Write the proportion equation
   10,281.56 : 14,188.60 = 5,565.84 : x
2. Step 2: Convert to fraction form
   10,281.56/14,188.60 = 5,565.84/x
3. Step 3: Cross multiply
   10,281.56x = 14,188.60 × 5,565.84
4. Step 4: Simplify right side
   10,281.56x = 78,971,477.42
5. Step 5: Solve for x
   x = 78,971,477.42/10,281.56
6. Step 6: Final answer
   x = 7,680.88