Finding the Fourth Proportional to 7,523.00, 10,381.59 and 4,165.78

Step by Step Solution

1. Step 1: Write the proportion equation
   7,523.00 : 10,381.59 = 4,165.78 : x
2. Step 2: Convert to fraction form
   7,523.00/10,381.59 = 4,165.78/x
3. Step 3: Cross multiply
   7,523.00x = 10,381.59 × 4,165.78
4. Step 4: Simplify right side
   7,523.00x = 43,247,398.86
5. Step 5: Solve for x
   x = 43,247,398.86/7,523.00
6. Step 6: Final answer
   x = 5,748.69