Finding the Fourth Proportional to 10,300.53, 15,412.52 and 6,142.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,300.53 : 15,412.52 = 6,142.80 : x
2. Step 2: Convert to fraction form
   10,300.53/15,412.52 = 6,142.80/x
3. Step 3: Cross multiply
   10,300.53x = 15,412.52 × 6,142.80
4. Step 4: Simplify right side
   10,300.53x = 94,676,027.86
5. Step 5: Solve for x
   x = 94,676,027.86/10,300.53
6. Step 6: Final answer
   x = 9,191.37