Finding the Fourth Proportional to 10,597.32, 14,623.74 and 5,881.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,597.32 : 14,623.74 = 5,881.50 : x
2. Step 2: Convert to fraction form
   10,597.32/14,623.74 = 5,881.50/x
3. Step 3: Cross multiply
   10,597.32x = 14,623.74 × 5,881.50
4. Step 4: Simplify right side
   10,597.32x = 86,009,526.81
5. Step 5: Solve for x
   x = 86,009,526.81/10,597.32
6. Step 6: Final answer
   x = 8,116.16