Finding the Fourth Proportional to 9,814.72, 13,536.56 and 7,820.52

Step by Step Solution

1. Step 1: Write the proportion equation
   9,814.72 : 13,536.56 = 7,820.52 : x
2. Step 2: Convert to fraction form
   9,814.72/13,536.56 = 7,820.52/x
3. Step 3: Cross multiply
   9,814.72x = 13,536.56 × 7,820.52
4. Step 4: Simplify right side
   9,814.72x = 105,862,938.21
5. Step 5: Solve for x
   x = 105,862,938.21/9,814.72
6. Step 6: Final answer
   x = 10,786.14