Finding the Fourth Proportional to 9,547.50, 13,174.47 and 5,298.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,547.50 : 13,174.47 = 5,298.42 : x
2. Step 2: Convert to fraction form
   9,547.50/13,174.47 = 5,298.42/x
3. Step 3: Cross multiply
   9,547.50x = 13,174.47 × 5,298.42
4. Step 4: Simplify right side
   9,547.50x = 69,803,875.34
5. Step 5: Solve for x
   x = 69,803,875.34/9,547.50
6. Step 6: Final answer
   x = 7,311.22