Finding the Fourth Proportional to 7,380.11, 10,188.77 and 5,698.01

Step by Step Solution

1. Step 1: Write the proportion equation
   7,380.11 : 10,188.77 = 5,698.01 : x
2. Step 2: Convert to fraction form
   7,380.11/10,188.77 = 5,698.01/x
3. Step 3: Cross multiply
   7,380.11x = 10,188.77 × 5,698.01
4. Step 4: Simplify right side
   7,380.11x = 58,055,633.91
5. Step 5: Solve for x
   x = 58,055,633.91/7,380.11
6. Step 6: Final answer
   x = 7,866.51