Finding the Fourth Proportional to 9,535.57, 14,307.47 and 5,156.12

Step by Step Solution

1. Step 1: Write the proportion equation
   9,535.57 : 14,307.47 = 5,156.12 : x
2. Step 2: Convert to fraction form
   9,535.57/14,307.47 = 5,156.12/x
3. Step 3: Cross multiply
   9,535.57x = 14,307.47 × 5,156.12
4. Step 4: Simplify right side
   9,535.57x = 73,771,032.22
5. Step 5: Solve for x
   x = 73,771,032.22/9,535.57
6. Step 6: Final answer
   x = 7,736.41