Finding the Fourth Proportional to 10,511.61, 14,507.04 and 7,854.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,511.61 : 14,507.04 = 7,854.40 : x
2. Step 2: Convert to fraction form
   10,511.61/14,507.04 = 7,854.40/x
3. Step 3: Cross multiply
   10,511.61x = 14,507.04 × 7,854.40
4. Step 4: Simplify right side
   10,511.61x = 113,944,094.98
5. Step 5: Solve for x
   x = 113,944,094.98/10,511.61
6. Step 6: Final answer
   x = 10,839.83