Finding the Fourth Proportional to 11,814.42, 17,697.33 and 8,534.10

Step by Step Solution

1. Step 1: Write the proportion equation
   11,814.42 : 17,697.33 = 8,534.10 : x
2. Step 2: Convert to fraction form
   11,814.42/17,697.33 = 8,534.10/x
3. Step 3: Cross multiply
   11,814.42x = 17,697.33 × 8,534.10
4. Step 4: Simplify right side
   11,814.42x = 151,030,783.95
5. Step 5: Solve for x
   x = 151,030,783.95/11,814.42
6. Step 6: Final answer
   x = 12,783.60