Finding the Fourth Proportional to 9,290.07, 12,814.89 and 5,750.76

Step by Step Solution

1. Step 1: Write the proportion equation
   9,290.07 : 12,814.89 = 5,750.76 : x
2. Step 2: Convert to fraction form
   9,290.07/12,814.89 = 5,750.76/x
3. Step 3: Cross multiply
   9,290.07x = 12,814.89 × 5,750.76
4. Step 4: Simplify right side
   9,290.07x = 73,695,356.82
5. Step 5: Solve for x
   x = 73,695,356.82/9,290.07
6. Step 6: Final answer
   x = 7,932.70