Finding the Fourth Proportional to 10,493.53, 14,475.33 and 7,301.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,493.53 : 14,475.33 = 7,301.78 : x
2. Step 2: Convert to fraction form
   10,493.53/14,475.33 = 7,301.78/x
3. Step 3: Cross multiply
   10,493.53x = 14,475.33 × 7,301.78
4. Step 4: Simplify right side
   10,493.53x = 105,695,677.53
5. Step 5: Solve for x
   x = 105,695,677.53/10,493.53
6. Step 6: Final answer
   x = 10,072.46