Finding the Fourth Proportional to 10,088.50, 13,914.82 and 7,780.36

Step by Step Solution

1. Step 1: Write the proportion equation
   10,088.50 : 13,914.82 = 7,780.36 : x
2. Step 2: Convert to fraction form
   10,088.50/13,914.82 = 7,780.36/x
3. Step 3: Cross multiply
   10,088.50x = 13,914.82 × 7,780.36
4. Step 4: Simplify right side
   10,088.50x = 108,262,308.94
5. Step 5: Solve for x
   x = 108,262,308.94/10,088.50
6. Step 6: Final answer
   x = 10,731.26