Finding the Fourth Proportional to 7,870.70, 10,849.80 and 5,213.48

Step by Step Solution

1. Step 1: Write the proportion equation
   7,870.70 : 10,849.80 = 5,213.48 : x
2. Step 2: Convert to fraction form
   7,870.70/10,849.80 = 5,213.48/x
3. Step 3: Cross multiply
   7,870.70x = 10,849.80 × 5,213.48
4. Step 4: Simplify right side
   7,870.70x = 56,565,215.30
5. Step 5: Solve for x
   x = 56,565,215.30/7,870.70
6. Step 6: Final answer
   x = 7,186.81