Finding the Fourth Proportional to 10,012.88, 13,818.80 and 5,536.98

Step by Step Solution

1. Step 1: Write the proportion equation
   10,012.88 : 13,818.80 = 5,536.98 : x
2. Step 2: Convert to fraction form
   10,012.88/13,818.80 = 5,536.98/x
3. Step 3: Cross multiply
   10,012.88x = 13,818.80 × 5,536.98
4. Step 4: Simplify right side
   10,012.88x = 76,514,433.07
5. Step 5: Solve for x
   x = 76,514,433.07/10,012.88
6. Step 6: Final answer
   x = 7,641.60