Finding the Fourth Proportional to 9,153.47, 13,748.67 and 5,462.91

Step by Step Solution

1. Step 1: Write the proportion equation
   9,153.47 : 13,748.67 = 5,462.91 : x
2. Step 2: Convert to fraction form
   9,153.47/13,748.67 = 5,462.91/x
3. Step 3: Cross multiply
   9,153.47x = 13,748.67 × 5,462.91
4. Step 4: Simplify right side
   9,153.47x = 75,107,746.83
5. Step 5: Solve for x
   x = 75,107,746.83/9,153.47
6. Step 6: Final answer
   x = 8,205.38