Finding the Fourth Proportional to 9,663.05, 13,345.53 and 7,780.86

Step by Step Solution

1. Step 1: Write the proportion equation
   9,663.05 : 13,345.53 = 7,780.86 : x
2. Step 2: Convert to fraction form
   9,663.05/13,345.53 = 7,780.86/x
3. Step 3: Cross multiply
   9,663.05x = 13,345.53 × 7,780.86
4. Step 4: Simplify right side
   9,663.05x = 103,839,700.56
5. Step 5: Solve for x
   x = 103,839,700.56/9,663.05
6. Step 6: Final answer
   x = 10,746.06