Finding the Fourth Proportional to 13,536.32, 20,307.94 and 5,214.10

Step by Step Solution

1. Step 1: Write the proportion equation
   13,536.32 : 20,307.94 = 5,214.10 : x
2. Step 2: Convert to fraction form
   13,536.32/20,307.94 = 5,214.10/x
3. Step 3: Cross multiply
   13,536.32x = 20,307.94 × 5,214.10
4. Step 4: Simplify right side
   13,536.32x = 105,887,676.01
5. Step 5: Solve for x
   x = 105,887,676.01/13,536.32
6. Step 6: Final answer
   x = 7,822.49