Finding the Fourth Proportional to 10,088.50, 13,922.13 and 5,672.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,088.50 : 13,922.13 = 5,672.50 : x
2. Step 2: Convert to fraction form
   10,088.50/13,922.13 = 5,672.50/x
3. Step 3: Cross multiply
   10,088.50x = 13,922.13 × 5,672.50
4. Step 4: Simplify right side
   10,088.50x = 78,973,282.43
5. Step 5: Solve for x
   x = 78,973,282.43/10,088.50
6. Step 6: Final answer
   x = 7,828.05