Finding the Fourth Proportional to 7,538.01, 10,402.74 and 4,180.83

Step by Step Solution

1. Step 1: Write the proportion equation
   7,538.01 : 10,402.74 = 4,180.83 : x
2. Step 2: Convert to fraction form
   7,538.01/10,402.74 = 4,180.83/x
3. Step 3: Cross multiply
   7,538.01x = 10,402.74 × 4,180.83
4. Step 4: Simplify right side
   7,538.01x = 43,492,087.47
5. Step 5: Solve for x
   x = 43,492,087.47/7,538.01
6. Step 6: Final answer
   x = 5,769.70