Finding the Fourth Proportional to 10,386.09, 14,332.61 and 5,848.77

Step by Step Solution

1. Step 1: Write the proportion equation
   10,386.09 : 14,332.61 = 5,848.77 : x
2. Step 2: Convert to fraction form
   10,386.09/14,332.61 = 5,848.77/x
3. Step 3: Cross multiply
   10,386.09x = 14,332.61 × 5,848.77
4. Step 4: Simplify right side
   10,386.09x = 83,828,154.01
5. Step 5: Solve for x
   x = 83,828,154.01/10,386.09
6. Step 6: Final answer
   x = 8,071.19