Finding the Fourth Proportional to 10,147.02, 14,002.83 and 5,670.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,147.02 : 14,002.83 = 5,670.78 : x
2. Step 2: Convert to fraction form
   10,147.02/14,002.83 = 5,670.78/x
3. Step 3: Cross multiply
   10,147.02x = 14,002.83 × 5,670.78
4. Step 4: Simplify right side
   10,147.02x = 79,406,968.31
5. Step 5: Solve for x
   x = 79,406,968.31/10,147.02
6. Step 6: Final answer
   x = 7,825.64