Finding the Fourth Proportional to 11,784.57, 16,255.62 and 7,002.78

Step by Step Solution

1. Step 1: Write the proportion equation
   11,784.57 : 16,255.62 = 7,002.78 : x
2. Step 2: Convert to fraction form
   11,784.57/16,255.62 = 7,002.78/x
3. Step 3: Cross multiply
   11,784.57x = 16,255.62 × 7,002.78
4. Step 4: Simplify right side
   11,784.57x = 113,834,530.62
5. Step 5: Solve for x
   x = 113,834,530.62/11,784.57
6. Step 6: Final answer
   x = 9,659.63