Finding the Fourth Proportional to 5,113.13, 7,624.94 and 5,066.42

Step by Step Solution

1. Step 1: Write the proportion equation
   5,113.13 : 7,624.94 = 5,066.42 : x
2. Step 2: Convert to fraction form
   5,113.13/7,624.94 = 5,066.42/x
3. Step 3: Cross multiply
   5,113.13x = 7,624.94 × 5,066.42
4. Step 4: Simplify right side
   5,113.13x = 38,631,085.06
5. Step 5: Solve for x
   x = 38,631,085.06/5,113.13
6. Step 6: Final answer
   x = 7,555.28