Finding the Fourth Proportional to 9,106.34, 12,565.35 and 5,127.35

Step by Step Solution

1. Step 1: Write the proportion equation
   9,106.34 : 12,565.35 = 5,127.35 : x
2. Step 2: Convert to fraction form
   9,106.34/12,565.35 = 5,127.35/x
3. Step 3: Cross multiply
   9,106.34x = 12,565.35 × 5,127.35
4. Step 4: Simplify right side
   9,106.34x = 64,426,884.50
5. Step 5: Solve for x
   x = 64,426,884.50/9,106.34
6. Step 6: Final answer
   x = 7,074.95