Finding the Fourth Proportional to 11,748.86, 16,214.70 and 7,503.82

Step by Step Solution

1. Step 1: Write the proportion equation
   11,748.86 : 16,214.70 = 7,503.82 : x
2. Step 2: Convert to fraction form
   11,748.86/16,214.70 = 7,503.82/x
3. Step 3: Cross multiply
   11,748.86x = 16,214.70 × 7,503.82
4. Step 4: Simplify right side
   11,748.86x = 121,672,190.15
5. Step 5: Solve for x
   x = 121,672,190.15/11,748.86
6. Step 6: Final answer
   x = 10,356.08