Finding the Fourth Proportional to 9,106.12, 12,566.10 and 5,127.04

Step by Step Solution

1. Step 1: Write the proportion equation
   9,106.12 : 12,566.10 = 5,127.04 : x
2. Step 2: Convert to fraction form
   9,106.12/12,566.10 = 5,127.04/x
3. Step 3: Cross multiply
   9,106.12x = 12,566.10 × 5,127.04
4. Step 4: Simplify right side
   9,106.12x = 64,426,897.34
5. Step 5: Solve for x
   x = 64,426,897.34/9,106.12
6. Step 6: Final answer
   x = 7,075.12