Finding the Fourth Proportional to 9,259.71, 12,778.30 and 5,010.67

Step by Step Solution

1. Step 1: Write the proportion equation
   9,259.71 : 12,778.30 = 5,010.67 : x
2. Step 2: Convert to fraction form
   9,259.71/12,778.30 = 5,010.67/x
3. Step 3: Cross multiply
   9,259.71x = 12,778.30 × 5,010.67
4. Step 4: Simplify right side
   9,259.71x = 64,027,844.46
5. Step 5: Solve for x
   x = 64,027,844.46/9,259.71
6. Step 6: Final answer
   x = 6,914.67