Finding the Fourth Proportional to 7,780.02, 10,742.31 and 5,131.14

Step by Step Solution

1. Step 1: Write the proportion equation
   7,780.02 : 10,742.31 = 5,131.14 : x
2. Step 2: Convert to fraction form
   7,780.02/10,742.31 = 5,131.14/x
3. Step 3: Cross multiply
   7,780.02x = 10,742.31 × 5,131.14
4. Step 4: Simplify right side
   7,780.02x = 55,120,296.53
5. Step 5: Solve for x
   x = 55,120,296.53/7,780.02
6. Step 6: Final answer
   x = 7,084.85