Finding the Fourth Proportional to 10,511.98, 14,507.57 and 7,854.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,511.98 : 14,507.57 = 7,854.78 : x
2. Step 2: Convert to fraction form
   10,511.98/14,507.57 = 7,854.78/x
3. Step 3: Cross multiply
   10,511.98x = 14,507.57 × 7,854.78
4. Step 4: Simplify right side
   10,511.98x = 113,953,770.68
5. Step 5: Solve for x
   x = 113,953,770.68/10,511.98
6. Step 6: Final answer
   x = 10,840.37