Finding the Fourth Proportional to 5,475.87, 7,561.76 and 5,142.15

Step by Step Solution

1. Step 1: Write the proportion equation
   5,475.87 : 7,561.76 = 5,142.15 : x
2. Step 2: Convert to fraction form
   5,475.87/7,561.76 = 5,142.15/x
3. Step 3: Cross multiply
   5,475.87x = 7,561.76 × 5,142.15
4. Step 4: Simplify right side
   5,475.87x = 38,883,678.47
5. Step 5: Solve for x
   x = 38,883,678.47/5,475.87
6. Step 6: Final answer
   x = 7,100.91