Finding the Fourth Proportional to 11,748.86, 16,216.01 and 9,191.55

Step by Step Solution

1. Step 1: Write the proportion equation
   11,748.86 : 16,216.01 = 9,191.55 : x
2. Step 2: Convert to fraction form
   11,748.86/16,216.01 = 9,191.55/x
3. Step 3: Cross multiply
   11,748.86x = 16,216.01 × 9,191.55
4. Step 4: Simplify right side
   11,748.86x = 149,050,266.72
5. Step 5: Solve for x
   x = 149,050,266.72/11,748.86
6. Step 6: Final answer
   x = 12,686.36