Finding the Fourth Proportional to 10,612.88, 14,646.38 and 5,897.46

Step by Step Solution

1. Step 1: Write the proportion equation
   10,612.88 : 14,646.38 = 5,897.46 : x
2. Step 2: Convert to fraction form
   10,612.88/14,646.38 = 5,897.46/x
3. Step 3: Cross multiply
   10,612.88x = 14,646.38 × 5,897.46
4. Step 4: Simplify right side
   10,612.88x = 86,376,410.71
5. Step 5: Solve for x
   x = 86,376,410.71/10,612.88
6. Step 6: Final answer
   x = 8,138.83