Finding the Fourth Proportional to 10,565.35, 15,851.03 and 5,294.00

Step by Step Solution

1. Step 1: Write the proportion equation
   10,565.35 : 15,851.03 = 5,294.00 : x
2. Step 2: Convert to fraction form
   10,565.35/15,851.03 = 5,294.00/x
3. Step 3: Cross multiply
   10,565.35x = 15,851.03 × 5,294.00
4. Step 4: Simplify right side
   10,565.35x = 83,915,365.98
5. Step 5: Solve for x
   x = 83,915,365.98/10,565.35
6. Step 6: Final answer
   x = 7,942.51