Finding the Fourth Proportional to 10,566.10, 15,852.15 and 5,294.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,566.10 : 15,852.15 = 5,294.75 : x
2. Step 2: Convert to fraction form
   10,566.10/15,852.15 = 5,294.75/x
3. Step 3: Cross multiply
   10,566.10x = 15,852.15 × 5,294.75
4. Step 4: Simplify right side
   10,566.10x = 83,933,210.84
5. Step 5: Solve for x
   x = 83,933,210.84/10,566.10
6. Step 6: Final answer
   x = 7,943.63