Finding the Fourth Proportional to 9,011.84, 13,498.56 and 5,114.24

Step by Step Solution

1. Step 1: Write the proportion equation
   9,011.84 : 13,498.56 = 5,114.24 : x
2. Step 2: Convert to fraction form
   9,011.84/13,498.56 = 5,114.24/x
3. Step 3: Cross multiply
   9,011.84x = 13,498.56 × 5,114.24
4. Step 4: Simplify right side
   9,011.84x = 69,034,875.49
5. Step 5: Solve for x
   x = 69,034,875.49/9,011.84
6. Step 6: Final answer
   x = 7,660.46