Finding the Fourth Proportional to 10,012.84, 13,817.60 and 5,536.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,012.84 : 13,817.60 = 5,536.88 : x
2. Step 2: Convert to fraction form
   10,012.84/13,817.60 = 5,536.88/x
3. Step 3: Cross multiply
   10,012.84x = 13,817.60 × 5,536.88
4. Step 4: Simplify right side
   10,012.84x = 76,506,393.09
5. Step 5: Solve for x
   x = 76,506,393.09/10,012.84
6. Step 6: Final answer
   x = 7,640.83