Finding the Fourth Proportional to 10,561.02, 14,564.25 and 7,878.18

Step by Step Solution

1. Step 1: Write the proportion equation
   10,561.02 : 14,564.25 = 7,878.18 : x
2. Step 2: Convert to fraction form
   10,561.02/14,564.25 = 7,878.18/x
3. Step 3: Cross multiply
   10,561.02x = 14,564.25 × 7,878.18
4. Step 4: Simplify right side
   10,561.02x = 114,739,783.07
5. Step 5: Solve for x
   x = 114,739,783.07/10,561.02
6. Step 6: Final answer
   x = 10,864.46