Finding the Fourth Proportional to 9,005.76, 12,426.68 and 5,026.32

Step by Step Solution

1. Step 1: Write the proportion equation
   9,005.76 : 12,426.68 = 5,026.32 : x
2. Step 2: Convert to fraction form
   9,005.76/12,426.68 = 5,026.32/x
3. Step 3: Cross multiply
   9,005.76x = 12,426.68 × 5,026.32
4. Step 4: Simplify right side
   9,005.76x = 62,460,470.22
5. Step 5: Solve for x
   x = 62,460,470.22/9,005.76
6. Step 6: Final answer
   x = 6,935.61