Finding the Fourth Proportional to 10,416.42, 14,374.62 and 5,700.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,416.42 : 14,374.62 = 5,700.78 : x
2. Step 2: Convert to fraction form
   10,416.42/14,374.62 = 5,700.78/x
3. Step 3: Cross multiply
   10,416.42x = 14,374.62 × 5,700.78
4. Step 4: Simplify right side
   10,416.42x = 81,946,546.20
5. Step 5: Solve for x
   x = 81,946,546.20/10,416.42
6. Step 6: Final answer
   x = 7,867.05