Finding the Fourth Proportional to 10,011.76, 13,815.42 and 5,762.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,011.76 : 13,815.42 = 5,762.60 : x
2. Step 2: Convert to fraction form
   10,011.76/13,815.42 = 5,762.60/x
3. Step 3: Cross multiply
   10,011.76x = 13,815.42 × 5,762.60
4. Step 4: Simplify right side
   10,011.76x = 79,612,670.21
5. Step 5: Solve for x
   x = 79,612,670.21/10,011.76
6. Step 6: Final answer
   x = 7,951.92