Finding the Fourth Proportional to 10,538.54, 14,526.29 and 7,134.47

Step by Step Solution

1. Step 1: Write the proportion equation
   10,538.54 : 14,526.29 = 7,134.47 : x
2. Step 2: Convert to fraction form
   10,538.54/14,526.29 = 7,134.47/x
3. Step 3: Cross multiply
   10,538.54x = 14,526.29 × 7,134.47
4. Step 4: Simplify right side
   10,538.54x = 103,637,425.77
5. Step 5: Solve for x
   x = 103,637,425.77/10,538.54
6. Step 6: Final answer
   x = 9,834.14