Finding the Fourth Proportional to 6,892.59, 9,511.78 and 3,748.78

Step by Step Solution

1. Step 1: Write the proportion equation
   6,892.59 : 9,511.78 = 3,748.78 : x
2. Step 2: Convert to fraction form
   6,892.59/9,511.78 = 3,748.78/x
3. Step 3: Cross multiply
   6,892.59x = 9,511.78 × 3,748.78
4. Step 4: Simplify right side
   6,892.59x = 35,657,580.18
5. Step 5: Solve for x
   x = 35,657,580.18/6,892.59
6. Step 6: Final answer
   x = 5,173.32