Finding the Fourth Proportional to 9,141.98, 13,711.32 and 2,566.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,141.98 : 13,711.32 = 2,566.56 : x
2. Step 2: Convert to fraction form
   9,141.98/13,711.32 = 2,566.56/x
3. Step 3: Cross multiply
   9,141.98x = 13,711.32 × 2,566.56
4. Step 4: Simplify right side
   9,141.98x = 35,190,925.46
5. Step 5: Solve for x
   x = 35,190,925.46/9,141.98
6. Step 6: Final answer
   x = 3,849.38