Finding the Fourth Proportional to 13,778.65, 19,014.50 and 7,491.02

Step by Step Solution

1. Step 1: Write the proportion equation
   13,778.65 : 19,014.50 = 7,491.02 : x
2. Step 2: Convert to fraction form
   13,778.65/19,014.50 = 7,491.02/x
3. Step 3: Cross multiply
   13,778.65x = 19,014.50 × 7,491.02
4. Step 4: Simplify right side
   13,778.65x = 142,437,962.33
5. Step 5: Solve for x
   x = 142,437,962.33/13,778.65
6. Step 6: Final answer
   x = 10,337.59