Finding the Fourth Proportional to 10,089.84, 13,923.60 and 5,613.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,089.84 : 13,923.60 = 5,613.76 : x
2. Step 2: Convert to fraction form
   10,089.84/13,923.60 = 5,613.76/x
3. Step 3: Cross multiply
   10,089.84x = 13,923.60 × 5,613.76
4. Step 4: Simplify right side
   10,089.84x = 78,163,748.74
5. Step 5: Solve for x
   x = 78,163,748.74/10,089.84
6. Step 6: Final answer
   x = 7,746.78