Finding the Fourth Proportional to 13,967.75, 19,275.50 and 7,680.13

Step by Step Solution

1. Step 1: Write the proportion equation
   13,967.75 : 19,275.50 = 7,680.13 : x
2. Step 2: Convert to fraction form
   13,967.75/19,275.50 = 7,680.13/x
3. Step 3: Cross multiply
   13,967.75x = 19,275.50 × 7,680.13
4. Step 4: Simplify right side
   13,967.75x = 148,038,345.82
5. Step 5: Solve for x
   x = 148,038,345.82/13,967.75
6. Step 6: Final answer
   x = 10,598.58